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Finding the Fourth Proportional to 1,714.91, 2,366.58 and 928.96

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Solution

The fourth proportional to 1,714.91, 2,366.58 and 928.96 is: 1,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.91 : 2,366.58 = 928.96 : x
  2. Step 2: Convert to fraction form
    1,714.91/2,366.58 = 928.96/x
  3. Step 3: Cross multiply
    1,714.91x = 2,366.58 × 928.96
  4. Step 4: Simplify right side
    1,714.91x = 2,198,458.16
  5. Step 5: Solve for x
    x = 2,198,458.16/1,714.91
  6. Step 6: Final answer
    x = 1,281.97

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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.