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Finding the Fourth Proportional to 3,023.74, 4,172.87 and 1,764.59

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Solution

The fourth proportional to 3,023.74, 4,172.87 and 1,764.59 is: 2,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.74 : 4,172.87 = 1,764.59 : x
  2. Step 2: Convert to fraction form
    3,023.74/4,172.87 = 1,764.59/x
  3. Step 3: Cross multiply
    3,023.74x = 4,172.87 × 1,764.59
  4. Step 4: Simplify right side
    3,023.74x = 7,363,419.52
  5. Step 5: Solve for x
    x = 7,363,419.52/3,023.74
  6. Step 6: Final answer
    x = 2,435.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.