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Finding the Fourth Proportional to 1,532.64, 2,114.91 and 869.46

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Solution

The fourth proportional to 1,532.64, 2,114.91 and 869.46 is: 1,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.64 : 2,114.91 = 869.46 : x
  2. Step 2: Convert to fraction form
    1,532.64/2,114.91 = 869.46/x
  3. Step 3: Cross multiply
    1,532.64x = 2,114.91 × 869.46
  4. Step 4: Simplify right side
    1,532.64x = 1,838,829.65
  5. Step 5: Solve for x
    x = 1,838,829.65/1,532.64
  6. Step 6: Final answer
    x = 1,199.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.