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Finding the Fourth Proportional to 1,591.92, 2,368.62 and 1,552.24

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Solution

The fourth proportional to 1,591.92, 2,368.62 and 1,552.24 is: 2,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.92 : 2,368.62 = 1,552.24 : x
  2. Step 2: Convert to fraction form
    1,591.92/2,368.62 = 1,552.24/x
  3. Step 3: Cross multiply
    1,591.92x = 2,368.62 × 1,552.24
  4. Step 4: Simplify right side
    1,591.92x = 3,676,666.71
  5. Step 5: Solve for x
    x = 3,676,666.71/1,591.92
  6. Step 6: Final answer
    x = 2,309.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.