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Finding the Fourth Proportional to 2,425.47, 3,347.11 and 1,587.57

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Solution

The fourth proportional to 2,425.47, 3,347.11 and 1,587.57 is: 2,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.47 : 3,347.11 = 1,587.57 : x
  2. Step 2: Convert to fraction form
    2,425.47/3,347.11 = 1,587.57/x
  3. Step 3: Cross multiply
    2,425.47x = 3,347.11 × 1,587.57
  4. Step 4: Simplify right side
    2,425.47x = 5,313,771.42
  5. Step 5: Solve for x
    x = 5,313,771.42/2,425.47
  6. Step 6: Final answer
    x = 2,190.82

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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.