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Finding the Fourth Proportional to 1,532.33, 2,114.61 and 869.18

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Solution

The fourth proportional to 1,532.33, 2,114.61 and 869.18 is: 1,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.33 : 2,114.61 = 869.18 : x
  2. Step 2: Convert to fraction form
    1,532.33/2,114.61 = 869.18/x
  3. Step 3: Cross multiply
    1,532.33x = 2,114.61 × 869.18
  4. Step 4: Simplify right side
    1,532.33x = 1,837,976.72
  5. Step 5: Solve for x
    x = 1,837,976.72/1,532.33
  6. Step 6: Final answer
    x = 1,199.47

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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.