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Finding the Fourth Proportional to 1,688.76, 2,531.59 and 592.52

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Solution

The fourth proportional to 1,688.76, 2,531.59 and 592.52 is: 888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.76 : 2,531.59 = 592.52 : x
  2. Step 2: Convert to fraction form
    1,688.76/2,531.59 = 592.52/x
  3. Step 3: Cross multiply
    1,688.76x = 2,531.59 × 592.52
  4. Step 4: Simplify right side
    1,688.76x = 1,500,017.71
  5. Step 5: Solve for x
    x = 1,500,017.71/1,688.76
  6. Step 6: Final answer
    x = 888.24

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