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Finding the Fourth Proportional to 1,532.98, 2,115.50 and 869.82

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Solution

The fourth proportional to 1,532.98, 2,115.50 and 869.82 is: 1,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.98 : 2,115.50 = 869.82 : x
  2. Step 2: Convert to fraction form
    1,532.98/2,115.50 = 869.82/x
  3. Step 3: Cross multiply
    1,532.98x = 2,115.50 × 869.82
  4. Step 4: Simplify right side
    1,532.98x = 1,840,104.21
  5. Step 5: Solve for x
    x = 1,840,104.21/1,532.98
  6. Step 6: Final answer
    x = 1,200.34

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1.5x scale

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.