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Finding the Fourth Proportional to 3,141.90, 4,694.76 and 2,397.24

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Solution

The fourth proportional to 3,141.90, 4,694.76 and 2,397.24 is: 3,582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.90 : 4,694.76 = 2,397.24 : x
  2. Step 2: Convert to fraction form
    3,141.90/4,694.76 = 2,397.24/x
  3. Step 3: Cross multiply
    3,141.90x = 4,694.76 × 2,397.24
  4. Step 4: Simplify right side
    3,141.90x = 11,254,466.46
  5. Step 5: Solve for x
    x = 11,254,466.46/3,141.90
  6. Step 6: Final answer
    x = 3,582.06

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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.