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Finding the Fourth Proportional to 1,321.09, 1,979.98 and 1,156.16

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Solution

The fourth proportional to 1,321.09, 1,979.98 and 1,156.16 is: 1,732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.09 : 1,979.98 = 1,156.16 : x
  2. Step 2: Convert to fraction form
    1,321.09/1,979.98 = 1,156.16/x
  3. Step 3: Cross multiply
    1,321.09x = 1,979.98 × 1,156.16
  4. Step 4: Simplify right side
    1,321.09x = 2,289,175.74
  5. Step 5: Solve for x
    x = 2,289,175.74/1,321.09
  6. Step 6: Final answer
    x = 1,732.80

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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.