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Finding the Fourth Proportional to 1,462.28, 2,017.76 and 872.96

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Solution

The fourth proportional to 1,462.28, 2,017.76 and 872.96 is: 1,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.28 : 2,017.76 = 872.96 : x
  2. Step 2: Convert to fraction form
    1,462.28/2,017.76 = 872.96/x
  3. Step 3: Cross multiply
    1,462.28x = 2,017.76 × 872.96
  4. Step 4: Simplify right side
    1,462.28x = 1,761,423.77
  5. Step 5: Solve for x
    x = 1,761,423.77/1,462.28
  6. Step 6: Final answer
    x = 1,204.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.