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Finding the Fourth Proportional to 1,462.02, 2,016.45 and 938.10

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Solution

The fourth proportional to 1,462.02, 2,016.45 and 938.10 is: 1,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.02 : 2,016.45 = 938.10 : x
  2. Step 2: Convert to fraction form
    1,462.02/2,016.45 = 938.10/x
  3. Step 3: Cross multiply
    1,462.02x = 2,016.45 × 938.10
  4. Step 4: Simplify right side
    1,462.02x = 1,891,631.75
  5. Step 5: Solve for x
    x = 1,891,631.75/1,462.02
  6. Step 6: Final answer
    x = 1,293.85

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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.