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Finding the Fourth Proportional to 2,204.71, 3,042.07 and 1,418.65

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Solution

The fourth proportional to 2,204.71, 3,042.07 and 1,418.65 is: 1,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.71 : 3,042.07 = 1,418.65 : x
  2. Step 2: Convert to fraction form
    2,204.71/3,042.07 = 1,418.65/x
  3. Step 3: Cross multiply
    2,204.71x = 3,042.07 × 1,418.65
  4. Step 4: Simplify right side
    2,204.71x = 4,315,632.61
  5. Step 5: Solve for x
    x = 4,315,632.61/2,204.71
  6. Step 6: Final answer
    x = 1,957.46

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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.