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Finding the Fourth Proportional to 2,204.88, 3,042.72 and 1,320.72

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Solution

The fourth proportional to 2,204.88, 3,042.72 and 1,320.72 is: 1,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.88 : 3,042.72 = 1,320.72 : x
  2. Step 2: Convert to fraction form
    2,204.88/3,042.72 = 1,320.72/x
  3. Step 3: Cross multiply
    2,204.88x = 3,042.72 × 1,320.72
  4. Step 4: Simplify right side
    2,204.88x = 4,018,581.16
  5. Step 5: Solve for x
    x = 4,018,581.16/2,204.88
  6. Step 6: Final answer
    x = 1,822.58

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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.