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Finding the Fourth Proportional to 2,082.49, 3,125.15 and 1,536.01

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Solution

The fourth proportional to 2,082.49, 3,125.15 and 1,536.01 is: 2,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.49 : 3,125.15 = 1,536.01 : x
  2. Step 2: Convert to fraction form
    2,082.49/3,125.15 = 1,536.01/x
  3. Step 3: Cross multiply
    2,082.49x = 3,125.15 × 1,536.01
  4. Step 4: Simplify right side
    2,082.49x = 4,800,261.65
  5. Step 5: Solve for x
    x = 4,800,261.65/2,082.49
  6. Step 6: Final answer
    x = 2,305.06

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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.