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Finding the Fourth Proportional to 1,714.97, 2,566.31 and 1,484.65

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Solution

The fourth proportional to 1,714.97, 2,566.31 and 1,484.65 is: 2,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.97 : 2,566.31 = 1,484.65 : x
  2. Step 2: Convert to fraction form
    1,714.97/2,566.31 = 1,484.65/x
  3. Step 3: Cross multiply
    1,714.97x = 2,566.31 × 1,484.65
  4. Step 4: Simplify right side
    1,714.97x = 3,810,079.32
  5. Step 5: Solve for x
    x = 3,810,079.32/1,714.97
  6. Step 6: Final answer
    x = 2,221.66

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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.