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Finding the Fourth Proportional to 1,714.82, 2,366.45 and 928.86

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Solution

The fourth proportional to 1,714.82, 2,366.45 and 928.86 is: 1,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.82 : 2,366.45 = 928.86 : x
  2. Step 2: Convert to fraction form
    1,714.82/2,366.45 = 928.86/x
  3. Step 3: Cross multiply
    1,714.82x = 2,366.45 × 928.86
  4. Step 4: Simplify right side
    1,714.82x = 2,198,100.75
  5. Step 5: Solve for x
    x = 2,198,100.75/1,714.82
  6. Step 6: Final answer
    x = 1,281.83

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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.