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Finding the Fourth Proportional to 2,204.64, 3,042.72 and 1,320.48

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Solution

The fourth proportional to 2,204.64, 3,042.72 and 1,320.48 is: 1,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.64 : 3,042.72 = 1,320.48 : x
  2. Step 2: Convert to fraction form
    2,204.64/3,042.72 = 1,320.48/x
  3. Step 3: Cross multiply
    2,204.64x = 3,042.72 × 1,320.48
  4. Step 4: Simplify right side
    2,204.64x = 4,017,850.91
  5. Step 5: Solve for x
    x = 4,017,850.91/2,204.64
  6. Step 6: Final answer
    x = 1,822.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.