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Finding the Fourth Proportional to 2,425.80, 3,348.12 and 1,541.40

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Solution

The fourth proportional to 2,425.80, 3,348.12 and 1,541.40 is: 2,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.80 : 3,348.12 = 1,541.40 : x
  2. Step 2: Convert to fraction form
    2,425.80/3,348.12 = 1,541.40/x
  3. Step 3: Cross multiply
    2,425.80x = 3,348.12 × 1,541.40
  4. Step 4: Simplify right side
    2,425.80x = 5,160,792.17
  5. Step 5: Solve for x
    x = 5,160,792.17/2,425.80
  6. Step 6: Final answer
    x = 2,127.46

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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.