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Finding the Fourth Proportional to 1,531.51, 2,113.70 and 868.52

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Solution

The fourth proportional to 1,531.51, 2,113.70 and 868.52 is: 1,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.51 : 2,113.70 = 868.52 : x
  2. Step 2: Convert to fraction form
    1,531.51/2,113.70 = 868.52/x
  3. Step 3: Cross multiply
    1,531.51x = 2,113.70 × 868.52
  4. Step 4: Simplify right side
    1,531.51x = 1,835,791.67
  5. Step 5: Solve for x
    x = 1,835,791.67/1,531.51
  6. Step 6: Final answer
    x = 1,198.68

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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.