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Finding the Fourth Proportional to 1,688.49, 2,532.98 and 592.66

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Solution

The fourth proportional to 1,688.49, 2,532.98 and 592.66 is: 889.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.49 : 2,532.98 = 592.66 : x
  2. Step 2: Convert to fraction form
    1,688.49/2,532.98 = 592.66/x
  3. Step 3: Cross multiply
    1,688.49x = 2,532.98 × 592.66
  4. Step 4: Simplify right side
    1,688.49x = 1,501,191.08
  5. Step 5: Solve for x
    x = 1,501,191.08/1,688.49
  6. Step 6: Final answer
    x = 889.08

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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.