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Finding the Fourth Proportional to 1,714.72, 2,366.33 and 928.78

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Solution

The fourth proportional to 1,714.72, 2,366.33 and 928.78 is: 1,281.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.72 : 2,366.33 = 928.78 : x
  2. Step 2: Convert to fraction form
    1,714.72/2,366.33 = 928.78/x
  3. Step 3: Cross multiply
    1,714.72x = 2,366.33 × 928.78
  4. Step 4: Simplify right side
    1,714.72x = 2,197,799.98
  5. Step 5: Solve for x
    x = 2,197,799.98/1,714.72
  6. Step 6: Final answer
    x = 1,281.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.