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Finding the Fourth Proportional to 1,531.36, 2,113.16 and 868.28

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Solution

The fourth proportional to 1,531.36, 2,113.16 and 868.28 is: 1,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.36 : 2,113.16 = 868.28 : x
  2. Step 2: Convert to fraction form
    1,531.36/2,113.16 = 868.28/x
  3. Step 3: Cross multiply
    1,531.36x = 2,113.16 × 868.28
  4. Step 4: Simplify right side
    1,531.36x = 1,834,814.56
  5. Step 5: Solve for x
    x = 1,834,814.56/1,531.36
  6. Step 6: Final answer
    x = 1,198.16

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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.