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Finding the Fourth Proportional to 1,461.17, 2,194.19 and 1,449.83

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Solution

The fourth proportional to 1,461.17, 2,194.19 and 1,449.83 is: 2,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.17 : 2,194.19 = 1,449.83 : x
  2. Step 2: Convert to fraction form
    1,461.17/2,194.19 = 1,449.83/x
  3. Step 3: Cross multiply
    1,461.17x = 2,194.19 × 1,449.83
  4. Step 4: Simplify right side
    1,461.17x = 3,181,184.27
  5. Step 5: Solve for x
    x = 3,181,184.27/1,461.17
  6. Step 6: Final answer
    x = 2,177.16

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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.