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Finding the Fourth Proportional to 1,317.82, 1,966.50 and 1,142.86

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Solution

The fourth proportional to 1,317.82, 1,966.50 and 1,142.86 is: 1,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.82 : 1,966.50 = 1,142.86 : x
  2. Step 2: Convert to fraction form
    1,317.82/1,966.50 = 1,142.86/x
  3. Step 3: Cross multiply
    1,317.82x = 1,966.50 × 1,142.86
  4. Step 4: Simplify right side
    1,317.82x = 2,247,431.33
  5. Step 5: Solve for x
    x = 2,247,431.33/1,317.82
  6. Step 6: Final answer
    x = 1,705.42

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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.