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Finding the Fourth Proportional to 1,965,782.54, 2,712,331.13 and 1,106,029.10

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Solution

The fourth proportional to 1,965,782.54, 2,712,331.13 and 1,106,029.10 is: 1,526,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,782.54 : 2,712,331.13 = 1,106,029.10 : x
  2. Step 2: Convert to fraction form
    1,965,782.54/2,712,331.13 = 1,106,029.10/x
  3. Step 3: Cross multiply
    1,965,782.54x = 2,712,331.13 × 1,106,029.10
  4. Step 4: Simplify right side
    1,965,782.54x = 2,999,917,159,866.57
  5. Step 5: Solve for x
    x = 2,999,917,159,866.57/1,965,782.54
  6. Step 6: Final answer
    x = 1,526,067.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.