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Finding the Fourth Proportional to 2,292.54, 3,452.28 and 1,647.78

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Solution

The fourth proportional to 2,292.54, 3,452.28 and 1,647.78 is: 2,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.54 : 3,452.28 = 1,647.78 : x
  2. Step 2: Convert to fraction form
    2,292.54/3,452.28 = 1,647.78/x
  3. Step 3: Cross multiply
    2,292.54x = 3,452.28 × 1,647.78
  4. Step 4: Simplify right side
    2,292.54x = 5,688,597.94
  5. Step 5: Solve for x
    x = 5,688,597.94/2,292.54
  6. Step 6: Final answer
    x = 2,481.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.