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Finding the Fourth Proportional to 2,546.47, 3,487.79 and 2,397.03

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Solution

The fourth proportional to 2,546.47, 3,487.79 and 2,397.03 is: 3,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.47 : 3,487.79 = 2,397.03 : x
  2. Step 2: Convert to fraction form
    2,546.47/3,487.79 = 2,397.03/x
  3. Step 3: Cross multiply
    2,546.47x = 3,487.79 × 2,397.03
  4. Step 4: Simplify right side
    2,546.47x = 8,360,337.26
  5. Step 5: Solve for x
    x = 8,360,337.26/2,546.47
  6. Step 6: Final answer
    x = 3,283.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.