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Finding the Fourth Proportional to 2,575.40, 3,862.20 and 1,342.40

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Solution

The fourth proportional to 2,575.40, 3,862.20 and 1,342.40 is: 2,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.40 : 3,862.20 = 1,342.40 : x
  2. Step 2: Convert to fraction form
    2,575.40/3,862.20 = 1,342.40/x
  3. Step 3: Cross multiply
    2,575.40x = 3,862.20 × 1,342.40
  4. Step 4: Simplify right side
    2,575.40x = 5,184,617.28
  5. Step 5: Solve for x
    x = 5,184,617.28/2,575.40
  6. Step 6: Final answer
    x = 2,013.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.