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Finding the Fourth Proportional to 1,315.20, 1,969.16 and 1,151.18

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Solution

The fourth proportional to 1,315.20, 1,969.16 and 1,151.18 is: 1,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.20 : 1,969.16 = 1,151.18 : x
  2. Step 2: Convert to fraction form
    1,315.20/1,969.16 = 1,151.18/x
  3. Step 3: Cross multiply
    1,315.20x = 1,969.16 × 1,151.18
  4. Step 4: Simplify right side
    1,315.20x = 2,266,842.01
  5. Step 5: Solve for x
    x = 2,266,842.01/1,315.20
  6. Step 6: Final answer
    x = 1,723.57

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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.