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Finding the Fourth Proportional to 2,488.74, 3,735.24 and 1,566.05

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Solution

The fourth proportional to 2,488.74, 3,735.24 and 1,566.05 is: 2,350.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.74 : 3,735.24 = 1,566.05 : x
  2. Step 2: Convert to fraction form
    2,488.74/3,735.24 = 1,566.05/x
  3. Step 3: Cross multiply
    2,488.74x = 3,735.24 × 1,566.05
  4. Step 4: Simplify right side
    2,488.74x = 5,849,553.93
  5. Step 5: Solve for x
    x = 5,849,553.93/2,488.74
  6. Step 6: Final answer
    x = 2,350.41

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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.