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Finding the Fourth Proportional to 2,269.51, 3,402.65 and 881.67

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Solution

The fourth proportional to 2,269.51, 3,402.65 and 881.67 is: 1,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.51 : 3,402.65 = 881.67 : x
  2. Step 2: Convert to fraction form
    2,269.51/3,402.65 = 881.67/x
  3. Step 3: Cross multiply
    2,269.51x = 3,402.65 × 881.67
  4. Step 4: Simplify right side
    2,269.51x = 3,000,014.43
  5. Step 5: Solve for x
    x = 3,000,014.43/2,269.51
  6. Step 6: Final answer
    x = 1,321.88

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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.