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Finding the Fourth Proportional to 1,454.69, 2,182.17 and 467.61

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Solution

The fourth proportional to 1,454.69, 2,182.17 and 467.61 is: 701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.69 : 2,182.17 = 467.61 : x
  2. Step 2: Convert to fraction form
    1,454.69/2,182.17 = 467.61/x
  3. Step 3: Cross multiply
    1,454.69x = 2,182.17 × 467.61
  4. Step 4: Simplify right side
    1,454.69x = 1,020,404.51
  5. Step 5: Solve for x
    x = 1,020,404.51/1,454.69
  6. Step 6: Final answer
    x = 701.46

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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.