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Finding the Fourth Proportional to 1,508.70, 2,261.02 and 892.29

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Solution

The fourth proportional to 1,508.70, 2,261.02 and 892.29 is: 1,337.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.70 : 2,261.02 = 892.29 : x
  2. Step 2: Convert to fraction form
    1,508.70/2,261.02 = 892.29/x
  3. Step 3: Cross multiply
    1,508.70x = 2,261.02 × 892.29
  4. Step 4: Simplify right side
    1,508.70x = 2,017,485.54
  5. Step 5: Solve for x
    x = 2,017,485.54/1,508.70
  6. Step 6: Final answer
    x = 1,337.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.