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Finding the Fourth Proportional to 1,461.72, 2,188.20 and 1,077.24

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Solution

The fourth proportional to 1,461.72, 2,188.20 and 1,077.24 is: 1,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.72 : 2,188.20 = 1,077.24 : x
  2. Step 2: Convert to fraction form
    1,461.72/2,188.20 = 1,077.24/x
  3. Step 3: Cross multiply
    1,461.72x = 2,188.20 × 1,077.24
  4. Step 4: Simplify right side
    1,461.72x = 2,357,216.57
  5. Step 5: Solve for x
    x = 2,357,216.57/1,461.72
  6. Step 6: Final answer
    x = 1,612.63

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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.