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Finding the Fourth Proportional to 1,319.65, 1,967.89 and 1,213.27

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Solution

The fourth proportional to 1,319.65, 1,967.89 and 1,213.27 is: 1,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.65 : 1,967.89 = 1,213.27 : x
  2. Step 2: Convert to fraction form
    1,319.65/1,967.89 = 1,213.27/x
  3. Step 3: Cross multiply
    1,319.65x = 1,967.89 × 1,213.27
  4. Step 4: Simplify right side
    1,319.65x = 2,387,581.90
  5. Step 5: Solve for x
    x = 2,387,581.90/1,319.65
  6. Step 6: Final answer
    x = 1,809.25

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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.