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Finding the Fourth Proportional to 2,357.52, 3,531.42 and 1,380.66

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Solution

The fourth proportional to 2,357.52, 3,531.42 and 1,380.66 is: 2,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.52 : 3,531.42 = 1,380.66 : x
  2. Step 2: Convert to fraction form
    2,357.52/3,531.42 = 1,380.66/x
  3. Step 3: Cross multiply
    2,357.52x = 3,531.42 × 1,380.66
  4. Step 4: Simplify right side
    2,357.52x = 4,875,690.34
  5. Step 5: Solve for x
    x = 4,875,690.34/2,357.52
  6. Step 6: Final answer
    x = 2,068.14

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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.