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Finding the Fourth Proportional to 1,248.28, 1,873.72 and 919.59

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Solution

The fourth proportional to 1,248.28, 1,873.72 and 919.59 is: 1,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.28 : 1,873.72 = 919.59 : x
  2. Step 2: Convert to fraction form
    1,248.28/1,873.72 = 919.59/x
  3. Step 3: Cross multiply
    1,248.28x = 1,873.72 × 919.59
  4. Step 4: Simplify right side
    1,248.28x = 1,723,045.76
  5. Step 5: Solve for x
    x = 1,723,045.76/1,248.28
  6. Step 6: Final answer
    x = 1,380.33

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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.