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Finding the Fourth Proportional to 1,317.07, 1,965.38 and 1,142.11

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Solution

The fourth proportional to 1,317.07, 1,965.38 and 1,142.11 is: 1,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.07 : 1,965.38 = 1,142.11 : x
  2. Step 2: Convert to fraction form
    1,317.07/1,965.38 = 1,142.11/x
  3. Step 3: Cross multiply
    1,317.07x = 1,965.38 × 1,142.11
  4. Step 4: Simplify right side
    1,317.07x = 2,244,680.15
  5. Step 5: Solve for x
    x = 2,244,680.15/1,317.07
  6. Step 6: Final answer
    x = 1,704.30

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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.