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Finding the Fourth Proportional to 1,454.64, 2,005.76 and 1,082.28

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Solution

The fourth proportional to 1,454.64, 2,005.76 and 1,082.28 is: 1,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.64 : 2,005.76 = 1,082.28 : x
  2. Step 2: Convert to fraction form
    1,454.64/2,005.76 = 1,082.28/x
  3. Step 3: Cross multiply
    1,454.64x = 2,005.76 × 1,082.28
  4. Step 4: Simplify right side
    1,454.64x = 2,170,793.93
  5. Step 5: Solve for x
    x = 2,170,793.93/1,454.64
  6. Step 6: Final answer
    x = 1,492.32

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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.