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Finding the Fourth Proportional to 2,710.47, 3,740.64 and 1,531.65

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Solution

The fourth proportional to 2,710.47, 3,740.64 and 1,531.65 is: 2,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.47 : 3,740.64 = 1,531.65 : x
  2. Step 2: Convert to fraction form
    2,710.47/3,740.64 = 1,531.65/x
  3. Step 3: Cross multiply
    2,710.47x = 3,740.64 × 1,531.65
  4. Step 4: Simplify right side
    2,710.47x = 5,729,351.26
  5. Step 5: Solve for x
    x = 5,729,351.26/2,710.47
  6. Step 6: Final answer
    x = 2,113.79

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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.