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Finding the Fourth Proportional to 2,886.30, 4,322.34 and 2,268.42

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Solution

The fourth proportional to 2,886.30, 4,322.34 and 2,268.42 is: 3,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.30 : 4,322.34 = 2,268.42 : x
  2. Step 2: Convert to fraction form
    2,886.30/4,322.34 = 2,268.42/x
  3. Step 3: Cross multiply
    2,886.30x = 4,322.34 × 2,268.42
  4. Step 4: Simplify right side
    2,886.30x = 9,804,882.50
  5. Step 5: Solve for x
    x = 9,804,882.50/2,886.30
  6. Step 6: Final answer
    x = 3,397.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.