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Finding the Fourth Proportional to 1,469.34, 2,191.05 and 1,265.22

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Solution

The fourth proportional to 1,469.34, 2,191.05 and 1,265.22 is: 1,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.34 : 2,191.05 = 1,265.22 : x
  2. Step 2: Convert to fraction form
    1,469.34/2,191.05 = 1,265.22/x
  3. Step 3: Cross multiply
    1,469.34x = 2,191.05 × 1,265.22
  4. Step 4: Simplify right side
    1,469.34x = 2,772,160.28
  5. Step 5: Solve for x
    x = 2,772,160.28/1,469.34
  6. Step 6: Final answer
    x = 1,886.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.