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Finding the Fourth Proportional to 1,764.98, 2,452.01 and 1,748.92

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Solution

The fourth proportional to 1,764.98, 2,452.01 and 1,748.92 is: 2,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.98 : 2,452.01 = 1,748.92 : x
  2. Step 2: Convert to fraction form
    1,764.98/2,452.01 = 1,748.92/x
  3. Step 3: Cross multiply
    1,764.98x = 2,452.01 × 1,748.92
  4. Step 4: Simplify right side
    1,764.98x = 4,288,367.57
  5. Step 5: Solve for x
    x = 4,288,367.57/1,764.98
  6. Step 6: Final answer
    x = 2,429.70

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.