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Finding the Fourth Proportional to 2,868.48, 3,958.66 and 2,159.04

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Solution

The fourth proportional to 2,868.48, 3,958.66 and 2,159.04 is: 2,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.48 : 3,958.66 = 2,159.04 : x
  2. Step 2: Convert to fraction form
    2,868.48/3,958.66 = 2,159.04/x
  3. Step 3: Cross multiply
    2,868.48x = 3,958.66 × 2,159.04
  4. Step 4: Simplify right side
    2,868.48x = 8,546,894.49
  5. Step 5: Solve for x
    x = 8,546,894.49/2,868.48
  6. Step 6: Final answer
    x = 2,979.60

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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.