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Finding the Fourth Proportional to 1,524.95, 2,283.77 and 967.72

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Solution

The fourth proportional to 1,524.95, 2,283.77 and 967.72 is: 1,449.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.95 : 2,283.77 = 967.72 : x
  2. Step 2: Convert to fraction form
    1,524.95/2,283.77 = 967.72/x
  3. Step 3: Cross multiply
    1,524.95x = 2,283.77 × 967.72
  4. Step 4: Simplify right side
    1,524.95x = 2,210,049.90
  5. Step 5: Solve for x
    x = 2,210,049.90/1,524.95
  6. Step 6: Final answer
    x = 1,449.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.