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Finding the Fourth Proportional to 1,524.60, 2,281.08 and 1,063.22

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Solution

The fourth proportional to 1,524.60, 2,281.08 and 1,063.22 is: 1,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.60 : 2,281.08 = 1,063.22 : x
  2. Step 2: Convert to fraction form
    1,524.60/2,281.08 = 1,063.22/x
  3. Step 3: Cross multiply
    1,524.60x = 2,281.08 × 1,063.22
  4. Step 4: Simplify right side
    1,524.60x = 2,425,278.47
  5. Step 5: Solve for x
    x = 2,425,278.47/1,524.60
  6. Step 6: Final answer
    x = 1,590.76

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