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Finding the Fourth Proportional to 1,465.26, 2,195.07 and 1,228.17

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Solution

The fourth proportional to 1,465.26, 2,195.07 and 1,228.17 is: 1,839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.26 : 2,195.07 = 1,228.17 : x
  2. Step 2: Convert to fraction form
    1,465.26/2,195.07 = 1,228.17/x
  3. Step 3: Cross multiply
    1,465.26x = 2,195.07 × 1,228.17
  4. Step 4: Simplify right side
    1,465.26x = 2,695,919.12
  5. Step 5: Solve for x
    x = 2,695,919.12/1,465.26
  6. Step 6: Final answer
    x = 1,839.89

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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.