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Finding the Fourth Proportional to 3,149.32, 4,722.36 and 1,417

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Solution

The fourth proportional to 3,149.32, 4,722.36 and 1,417 is: 2,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.32 : 4,722.36 = 1,417 : x
  2. Step 2: Convert to fraction form
    3,149.32/4,722.36 = 1,417/x
  3. Step 3: Cross multiply
    3,149.32x = 4,722.36 × 1,417
  4. Step 4: Simplify right side
    3,149.32x = 6,691,584.12
  5. Step 5: Solve for x
    x = 6,691,584.12/3,149.32
  6. Step 6: Final answer
    x = 2,124.77

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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.