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Finding the Fourth Proportional to 3,114.68, 4,673.88 and 1,265.65

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Solution

The fourth proportional to 3,114.68, 4,673.88 and 1,265.65 is: 1,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.68 : 4,673.88 = 1,265.65 : x
  2. Step 2: Convert to fraction form
    3,114.68/4,673.88 = 1,265.65/x
  3. Step 3: Cross multiply
    3,114.68x = 4,673.88 × 1,265.65
  4. Step 4: Simplify right side
    3,114.68x = 5,915,496.22
  5. Step 5: Solve for x
    x = 5,915,496.22/3,114.68
  6. Step 6: Final answer
    x = 1,899.23

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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.