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Finding the Fourth Proportional to 2,082.44, 3,114.18 and 1,555.72

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Solution

The fourth proportional to 2,082.44, 3,114.18 and 1,555.72 is: 2,326.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.44 : 3,114.18 = 1,555.72 : x
  2. Step 2: Convert to fraction form
    2,082.44/3,114.18 = 1,555.72/x
  3. Step 3: Cross multiply
    2,082.44x = 3,114.18 × 1,555.72
  4. Step 4: Simplify right side
    2,082.44x = 4,844,792.11
  5. Step 5: Solve for x
    x = 4,844,792.11/2,082.44
  6. Step 6: Final answer
    x = 2,326.50

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Why These Related Problems?

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