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Finding the Fourth Proportional to 2,651.42, 3,976.58 and 1,007.39

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Solution

The fourth proportional to 2,651.42, 3,976.58 and 1,007.39 is: 1,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.42 : 3,976.58 = 1,007.39 : x
  2. Step 2: Convert to fraction form
    2,651.42/3,976.58 = 1,007.39/x
  3. Step 3: Cross multiply
    2,651.42x = 3,976.58 × 1,007.39
  4. Step 4: Simplify right side
    2,651.42x = 4,005,966.93
  5. Step 5: Solve for x
    x = 4,005,966.93/2,651.42
  6. Step 6: Final answer
    x = 1,510.88

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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.