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Finding the Fourth Proportional to 1,924.77, 2,886.59 and 537.77

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Solution

The fourth proportional to 1,924.77, 2,886.59 and 537.77 is: 806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.77 : 2,886.59 = 537.77 : x
  2. Step 2: Convert to fraction form
    1,924.77/2,886.59 = 537.77/x
  3. Step 3: Cross multiply
    1,924.77x = 2,886.59 × 537.77
  4. Step 4: Simplify right side
    1,924.77x = 1,552,326.03
  5. Step 5: Solve for x
    x = 1,552,326.03/1,924.77
  6. Step 6: Final answer
    x = 806.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.