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Finding the Fourth Proportional to 1,594.17, 2,392.88 and 1,132.47

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Solution

The fourth proportional to 1,594.17, 2,392.88 and 1,132.47 is: 1,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.17 : 2,392.88 = 1,132.47 : x
  2. Step 2: Convert to fraction form
    1,594.17/2,392.88 = 1,132.47/x
  3. Step 3: Cross multiply
    1,594.17x = 2,392.88 × 1,132.47
  4. Step 4: Simplify right side
    1,594.17x = 2,709,859.15
  5. Step 5: Solve for x
    x = 2,709,859.15/1,594.17
  6. Step 6: Final answer
    x = 1,699.86

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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.