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Finding the Fourth Proportional to 2,357.65, 3,531.61 and 1,380.79

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Solution

The fourth proportional to 2,357.65, 3,531.61 and 1,380.79 is: 2,068.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.65 : 3,531.61 = 1,380.79 : x
  2. Step 2: Convert to fraction form
    2,357.65/3,531.61 = 1,380.79/x
  3. Step 3: Cross multiply
    2,357.65x = 3,531.61 × 1,380.79
  4. Step 4: Simplify right side
    2,357.65x = 4,876,390.66
  5. Step 5: Solve for x
    x = 4,876,390.66/2,357.65
  6. Step 6: Final answer
    x = 2,068.33

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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.