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Finding the Fourth Proportional to 1,454.92, 2,007.66 and 1,014.28

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Solution

The fourth proportional to 1,454.92, 2,007.66 and 1,014.28 is: 1,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.92 : 2,007.66 = 1,014.28 : x
  2. Step 2: Convert to fraction form
    1,454.92/2,007.66 = 1,014.28/x
  3. Step 3: Cross multiply
    1,454.92x = 2,007.66 × 1,014.28
  4. Step 4: Simplify right side
    1,454.92x = 2,036,329.38
  5. Step 5: Solve for x
    x = 2,036,329.38/1,454.92
  6. Step 6: Final answer
    x = 1,399.62

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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.