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Finding the Fourth Proportional to 1,536.66, 2,302.43 and 1,479.78

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Solution

The fourth proportional to 1,536.66, 2,302.43 and 1,479.78 is: 2,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.66 : 2,302.43 = 1,479.78 : x
  2. Step 2: Convert to fraction form
    1,536.66/2,302.43 = 1,479.78/x
  3. Step 3: Cross multiply
    1,536.66x = 2,302.43 × 1,479.78
  4. Step 4: Simplify right side
    1,536.66x = 3,407,082.47
  5. Step 5: Solve for x
    x = 3,407,082.47/1,536.66
  6. Step 6: Final answer
    x = 2,217.20

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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.