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Finding the Fourth Proportional to 1,447.61, 2,171.30 and 407.61

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Solution

The fourth proportional to 1,447.61, 2,171.30 and 407.61 is: 611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.61 : 2,171.30 = 407.61 : x
  2. Step 2: Convert to fraction form
    1,447.61/2,171.30 = 407.61/x
  3. Step 3: Cross multiply
    1,447.61x = 2,171.30 × 407.61
  4. Step 4: Simplify right side
    1,447.61x = 885,041.55
  5. Step 5: Solve for x
    x = 885,041.55/1,447.61
  6. Step 6: Final answer
    x = 611.38

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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.