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Finding the Fourth Proportional to 1,532.80, 2,115.52 and 1,008.80

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Solution

The fourth proportional to 1,532.80, 2,115.52 and 1,008.80 is: 1,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.80 : 2,115.52 = 1,008.80 : x
  2. Step 2: Convert to fraction form
    1,532.80/2,115.52 = 1,008.80/x
  3. Step 3: Cross multiply
    1,532.80x = 2,115.52 × 1,008.80
  4. Step 4: Simplify right side
    1,532.80x = 2,134,136.58
  5. Step 5: Solve for x
    x = 2,134,136.58/1,532.80
  6. Step 6: Final answer
    x = 1,392.31

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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.