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Finding the Fourth Proportional to 2,377.76, 3,282.72 and 1,538.72

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Solution

The fourth proportional to 2,377.76, 3,282.72 and 1,538.72 is: 2,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.76 : 3,282.72 = 1,538.72 : x
  2. Step 2: Convert to fraction form
    2,377.76/3,282.72 = 1,538.72/x
  3. Step 3: Cross multiply
    2,377.76x = 3,282.72 × 1,538.72
  4. Step 4: Simplify right side
    2,377.76x = 5,051,186.92
  5. Step 5: Solve for x
    x = 5,051,186.92/2,377.76
  6. Step 6: Final answer
    x = 2,124.35

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