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Finding the Fourth Proportional to 2,538.68, 3,805.42 and 1,440.72

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Solution

The fourth proportional to 2,538.68, 3,805.42 and 1,440.72 is: 2,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.68 : 3,805.42 = 1,440.72 : x
  2. Step 2: Convert to fraction form
    2,538.68/3,805.42 = 1,440.72/x
  3. Step 3: Cross multiply
    2,538.68x = 3,805.42 × 1,440.72
  4. Step 4: Simplify right side
    2,538.68x = 5,482,544.70
  5. Step 5: Solve for x
    x = 5,482,544.70/2,538.68
  6. Step 6: Final answer
    x = 2,159.60

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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.