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Finding the Fourth Proportional to 2,454.90, 3,387.87 and 1,570.62

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Solution

The fourth proportional to 2,454.90, 3,387.87 and 1,570.62 is: 2,167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.90 : 3,387.87 = 1,570.62 : x
  2. Step 2: Convert to fraction form
    2,454.90/3,387.87 = 1,570.62/x
  3. Step 3: Cross multiply
    2,454.90x = 3,387.87 × 1,570.62
  4. Step 4: Simplify right side
    2,454.90x = 5,321,056.38
  5. Step 5: Solve for x
    x = 5,321,056.38/2,454.90
  6. Step 6: Final answer
    x = 2,167.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.