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Finding the Fourth Proportional to 1,688.59, 2,329.95 and 1,129.87

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Solution

The fourth proportional to 1,688.59, 2,329.95 and 1,129.87 is: 1,559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.59 : 2,329.95 = 1,129.87 : x
  2. Step 2: Convert to fraction form
    1,688.59/2,329.95 = 1,129.87/x
  3. Step 3: Cross multiply
    1,688.59x = 2,329.95 × 1,129.87
  4. Step 4: Simplify right side
    1,688.59x = 2,632,540.61
  5. Step 5: Solve for x
    x = 2,632,540.61/1,688.59
  6. Step 6: Final answer
    x = 1,559.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.