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Finding the Fourth Proportional to 1,714.58, 2,559.33 and 1,472.66

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Solution

The fourth proportional to 1,714.58, 2,559.33 and 1,472.66 is: 2,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.58 : 2,559.33 = 1,472.66 : x
  2. Step 2: Convert to fraction form
    1,714.58/2,559.33 = 1,472.66/x
  3. Step 3: Cross multiply
    1,714.58x = 2,559.33 × 1,472.66
  4. Step 4: Simplify right side
    1,714.58x = 3,769,015.55
  5. Step 5: Solve for x
    x = 3,769,015.55/1,714.58
  6. Step 6: Final answer
    x = 2,198.22

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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.