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Finding the Fourth Proportional to 1,532.36, 2,114.56 and 869.24

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Solution

The fourth proportional to 1,532.36, 2,114.56 and 869.24 is: 1,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.36 : 2,114.56 = 869.24 : x
  2. Step 2: Convert to fraction form
    1,532.36/2,114.56 = 869.24/x
  3. Step 3: Cross multiply
    1,532.36x = 2,114.56 × 869.24
  4. Step 4: Simplify right side
    1,532.36x = 1,838,060.13
  5. Step 5: Solve for x
    x = 1,838,060.13/1,532.36
  6. Step 6: Final answer
    x = 1,199.50

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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.