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Finding the Fourth Proportional to 3,149.52, 4,724.12 and 841.02

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Solution

The fourth proportional to 3,149.52, 4,724.12 and 841.02 is: 1,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.52 : 4,724.12 = 841.02 : x
  2. Step 2: Convert to fraction form
    3,149.52/4,724.12 = 841.02/x
  3. Step 3: Cross multiply
    3,149.52x = 4,724.12 × 841.02
  4. Step 4: Simplify right side
    3,149.52x = 3,973,079.40
  5. Step 5: Solve for x
    x = 3,973,079.40/3,149.52
  6. Step 6: Final answer
    x = 1,261.49

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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.