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Finding the Fourth Proportional to 1,785.80, 2,463.14 and 1,536.69

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Solution

The fourth proportional to 1,785.80, 2,463.14 and 1,536.69 is: 2,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.80 : 2,463.14 = 1,536.69 : x
  2. Step 2: Convert to fraction form
    1,785.80/2,463.14 = 1,536.69/x
  3. Step 3: Cross multiply
    1,785.80x = 2,463.14 × 1,536.69
  4. Step 4: Simplify right side
    1,785.80x = 3,785,082.61
  5. Step 5: Solve for x
    x = 3,785,082.61/1,785.80
  6. Step 6: Final answer
    x = 2,119.54

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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.