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Finding the Fourth Proportional to 2,862.32, 3,949.64 and 1,667.64

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Solution

The fourth proportional to 2,862.32, 3,949.64 and 1,667.64 is: 2,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.32 : 3,949.64 = 1,667.64 : x
  2. Step 2: Convert to fraction form
    2,862.32/3,949.64 = 1,667.64/x
  3. Step 3: Cross multiply
    2,862.32x = 3,949.64 × 1,667.64
  4. Step 4: Simplify right side
    2,862.32x = 6,586,577.65
  5. Step 5: Solve for x
    x = 6,586,577.65/2,862.32
  6. Step 6: Final answer
    x = 2,301.13

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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.