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Finding the Fourth Proportional to 2,477.05, 3,418 and 1,481.97

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Solution

The fourth proportional to 2,477.05, 3,418 and 1,481.97 is: 2,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.05 : 3,418 = 1,481.97 : x
  2. Step 2: Convert to fraction form
    2,477.05/3,418 = 1,481.97/x
  3. Step 3: Cross multiply
    2,477.05x = 3,418 × 1,481.97
  4. Step 4: Simplify right side
    2,477.05x = 5,065,373.46
  5. Step 5: Solve for x
    x = 5,065,373.46/2,477.05
  6. Step 6: Final answer
    x = 2,044.92

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Why These Related Problems?

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