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Finding the Fourth Proportional to 2,268.93, 3,402.52 and 882.08

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Solution

The fourth proportional to 2,268.93, 3,402.52 and 882.08 is: 1,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.93 : 3,402.52 = 882.08 : x
  2. Step 2: Convert to fraction form
    2,268.93/3,402.52 = 882.08/x
  3. Step 3: Cross multiply
    2,268.93x = 3,402.52 × 882.08
  4. Step 4: Simplify right side
    2,268.93x = 3,001,294.84
  5. Step 5: Solve for x
    x = 3,001,294.84/2,268.93
  6. Step 6: Final answer
    x = 1,322.78

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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.