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Finding the Fourth Proportional to 3,178.74, 4,388.43 and 2,117.95

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Solution

The fourth proportional to 3,178.74, 4,388.43 and 2,117.95 is: 2,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.74 : 4,388.43 = 2,117.95 : x
  2. Step 2: Convert to fraction form
    3,178.74/4,388.43 = 2,117.95/x
  3. Step 3: Cross multiply
    3,178.74x = 4,388.43 × 2,117.95
  4. Step 4: Simplify right side
    3,178.74x = 9,294,460.38
  5. Step 5: Solve for x
    x = 9,294,460.38/3,178.74
  6. Step 6: Final answer
    x = 2,923.94

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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.