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Finding the Fourth Proportional to 1,985,762.34, 2,740,265.50 and 1,102,656.74

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Solution

The fourth proportional to 1,985,762.34, 2,740,265.50 and 1,102,656.74 is: 1,521,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985,762.34 : 2,740,265.50 = 1,102,656.74 : x
  2. Step 2: Convert to fraction form
    1,985,762.34/2,740,265.50 = 1,102,656.74/x
  3. Step 3: Cross multiply
    1,985,762.34x = 2,740,265.50 × 1,102,656.74
  4. Step 4: Simplify right side
    1,985,762.34x = 3,021,572,222,964.47
  5. Step 5: Solve for x
    x = 3,021,572,222,964.47/1,985,762.34
  6. Step 6: Final answer
    x = 1,521,618.25

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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.