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Finding the Fourth Proportional to 2,253.34, 3,381.23 and 867.63

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Solution

The fourth proportional to 2,253.34, 3,381.23 and 867.63 is: 1,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.34 : 3,381.23 = 867.63 : x
  2. Step 2: Convert to fraction form
    2,253.34/3,381.23 = 867.63/x
  3. Step 3: Cross multiply
    2,253.34x = 3,381.23 × 867.63
  4. Step 4: Simplify right side
    2,253.34x = 2,933,656.58
  5. Step 5: Solve for x
    x = 2,933,656.58/2,253.34
  6. Step 6: Final answer
    x = 1,301.91

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