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Finding the Fourth Proportional to 2,782.46, 4,177.85 and 1,749.02

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Solution

The fourth proportional to 2,782.46, 4,177.85 and 1,749.02 is: 2,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.46 : 4,177.85 = 1,749.02 : x
  2. Step 2: Convert to fraction form
    2,782.46/4,177.85 = 1,749.02/x
  3. Step 3: Cross multiply
    2,782.46x = 4,177.85 × 1,749.02
  4. Step 4: Simplify right side
    2,782.46x = 7,307,113.57
  5. Step 5: Solve for x
    x = 7,307,113.57/2,782.46
  6. Step 6: Final answer
    x = 2,626.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.