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Finding the Fourth Proportional to 1,714.83, 2,559.70 and 1,472.91

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Solution

The fourth proportional to 1,714.83, 2,559.70 and 1,472.91 is: 2,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.83 : 2,559.70 = 1,472.91 : x
  2. Step 2: Convert to fraction form
    1,714.83/2,559.70 = 1,472.91/x
  3. Step 3: Cross multiply
    1,714.83x = 2,559.70 × 1,472.91
  4. Step 4: Simplify right side
    1,714.83x = 3,770,204.04
  5. Step 5: Solve for x
    x = 3,770,204.04/1,714.83
  6. Step 6: Final answer
    x = 2,198.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.