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Finding the Fourth Proportional to 2,974.39, 4,102.79 and 1,913.53

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Solution

The fourth proportional to 2,974.39, 4,102.79 and 1,913.53 is: 2,639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.39 : 4,102.79 = 1,913.53 : x
  2. Step 2: Convert to fraction form
    2,974.39/4,102.79 = 1,913.53/x
  3. Step 3: Cross multiply
    2,974.39x = 4,102.79 × 1,913.53
  4. Step 4: Simplify right side
    2,974.39x = 7,850,823.26
  5. Step 5: Solve for x
    x = 7,850,823.26/2,974.39
  6. Step 6: Final answer
    x = 2,639.48

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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.