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Finding the Fourth Proportional to 2,876.64, 4,314.52 and 928.64

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Solution

The fourth proportional to 2,876.64, 4,314.52 and 928.64 is: 1,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.64 : 4,314.52 = 928.64 : x
  2. Step 2: Convert to fraction form
    2,876.64/4,314.52 = 928.64/x
  3. Step 3: Cross multiply
    2,876.64x = 4,314.52 × 928.64
  4. Step 4: Simplify right side
    2,876.64x = 4,006,635.85
  5. Step 5: Solve for x
    x = 4,006,635.85/2,876.64
  6. Step 6: Final answer
    x = 1,392.82

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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.