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Finding the Fourth Proportional to 3,149.68, 4,724.10 and 841.36

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Solution

The fourth proportional to 3,149.68, 4,724.10 and 841.36 is: 1,261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.68 : 4,724.10 = 841.36 : x
  2. Step 2: Convert to fraction form
    3,149.68/4,724.10 = 841.36/x
  3. Step 3: Cross multiply
    3,149.68x = 4,724.10 × 841.36
  4. Step 4: Simplify right side
    3,149.68x = 3,974,668.78
  5. Step 5: Solve for x
    x = 3,974,668.78/3,149.68
  6. Step 6: Final answer
    x = 1,261.93

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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.