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Finding the Fourth Proportional to 1,538.76, 2,318.92 and 1,384.88

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Solution

The fourth proportional to 1,538.76, 2,318.92 and 1,384.88 is: 2,087.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.76 : 2,318.92 = 1,384.88 : x
  2. Step 2: Convert to fraction form
    1,538.76/2,318.92 = 1,384.88/x
  3. Step 3: Cross multiply
    1,538.76x = 2,318.92 × 1,384.88
  4. Step 4: Simplify right side
    1,538.76x = 3,211,425.93
  5. Step 5: Solve for x
    x = 3,211,425.93/1,538.76
  6. Step 6: Final answer
    x = 2,087.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.