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Finding the Fourth Proportional to 1,688.61, 2,533.17 and 592.79

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Solution

The fourth proportional to 1,688.61, 2,533.17 and 592.79 is: 889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.61 : 2,533.17 = 592.79 : x
  2. Step 2: Convert to fraction form
    1,688.61/2,533.17 = 592.79/x
  3. Step 3: Cross multiply
    1,688.61x = 2,533.17 × 592.79
  4. Step 4: Simplify right side
    1,688.61x = 1,501,625.18
  5. Step 5: Solve for x
    x = 1,501,625.18/1,688.61
  6. Step 6: Final answer
    x = 889.27

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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.