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Finding the Fourth Proportional to 2,476.32, 3,713.89 and 720.91

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Solution

The fourth proportional to 2,476.32, 3,713.89 and 720.91 is: 1,081.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.32 : 3,713.89 = 720.91 : x
  2. Step 2: Convert to fraction form
    2,476.32/3,713.89 = 720.91/x
  3. Step 3: Cross multiply
    2,476.32x = 3,713.89 × 720.91
  4. Step 4: Simplify right side
    2,476.32x = 2,677,380.44
  5. Step 5: Solve for x
    x = 2,677,380.44/2,476.32
  6. Step 6: Final answer
    x = 1,081.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.