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Finding the Fourth Proportional to 1,524.47, 2,286.71 and 370.22

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Solution

The fourth proportional to 1,524.47, 2,286.71 and 370.22 is: 555.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.47 : 2,286.71 = 370.22 : x
  2. Step 2: Convert to fraction form
    1,524.47/2,286.71 = 370.22/x
  3. Step 3: Cross multiply
    1,524.47x = 2,286.71 × 370.22
  4. Step 4: Simplify right side
    1,524.47x = 846,582.46
  5. Step 5: Solve for x
    x = 846,582.46/1,524.47
  6. Step 6: Final answer
    x = 555.33

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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.