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Finding the Fourth Proportional to 1,551.86, 2,328.17 and 772.23

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Solution

The fourth proportional to 1,551.86, 2,328.17 and 772.23 is: 1,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.86 : 2,328.17 = 772.23 : x
  2. Step 2: Convert to fraction form
    1,551.86/2,328.17 = 772.23/x
  3. Step 3: Cross multiply
    1,551.86x = 2,328.17 × 772.23
  4. Step 4: Simplify right side
    1,551.86x = 1,797,882.72
  5. Step 5: Solve for x
    x = 1,797,882.72/1,551.86
  6. Step 6: Final answer
    x = 1,158.53

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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.