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Finding the Fourth Proportional to 1,552.38, 2,328.84 and 822.57

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Solution

The fourth proportional to 1,552.38, 2,328.84 and 822.57 is: 1,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.38 : 2,328.84 = 822.57 : x
  2. Step 2: Convert to fraction form
    1,552.38/2,328.84 = 822.57/x
  3. Step 3: Cross multiply
    1,552.38x = 2,328.84 × 822.57
  4. Step 4: Simplify right side
    1,552.38x = 1,915,633.92
  5. Step 5: Solve for x
    x = 1,915,633.92/1,552.38
  6. Step 6: Final answer
    x = 1,234.00

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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.