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Finding the Fourth Proportional to 1,452.24, 2,178.22 and 722.30

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Solution

The fourth proportional to 1,452.24, 2,178.22 and 722.30 is: 1,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.24 : 2,178.22 = 722.30 : x
  2. Step 2: Convert to fraction form
    1,452.24/2,178.22 = 722.30/x
  3. Step 3: Cross multiply
    1,452.24x = 2,178.22 × 722.30
  4. Step 4: Simplify right side
    1,452.24x = 1,573,328.31
  5. Step 5: Solve for x
    x = 1,573,328.31/1,452.24
  6. Step 6: Final answer
    x = 1,083.38

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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.