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Finding the Fourth Proportional to 2,959.37, 4,082.13 and 1,763.57

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Solution

The fourth proportional to 2,959.37, 4,082.13 and 1,763.57 is: 2,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.37 : 4,082.13 = 1,763.57 : x
  2. Step 2: Convert to fraction form
    2,959.37/4,082.13 = 1,763.57/x
  3. Step 3: Cross multiply
    2,959.37x = 4,082.13 × 1,763.57
  4. Step 4: Simplify right side
    2,959.37x = 7,199,122.00
  5. Step 5: Solve for x
    x = 7,199,122.00/2,959.37
  6. Step 6: Final answer
    x = 2,432.65

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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.