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Finding the Fourth Proportional to 2,078.40, 2,868.42 and 1,182.34

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Solution

The fourth proportional to 2,078.40, 2,868.42 and 1,182.34 is: 1,631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.40 : 2,868.42 = 1,182.34 : x
  2. Step 2: Convert to fraction form
    2,078.40/2,868.42 = 1,182.34/x
  3. Step 3: Cross multiply
    2,078.40x = 2,868.42 × 1,182.34
  4. Step 4: Simplify right side
    2,078.40x = 3,391,447.70
  5. Step 5: Solve for x
    x = 3,391,447.70/2,078.40
  6. Step 6: Final answer
    x = 1,631.76

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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.