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Finding the Fourth Proportional to 1,426.76, 1,968.18 and 961.16

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Solution

The fourth proportional to 1,426.76, 1,968.18 and 961.16 is: 1,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.76 : 1,968.18 = 961.16 : x
  2. Step 2: Convert to fraction form
    1,426.76/1,968.18 = 961.16/x
  3. Step 3: Cross multiply
    1,426.76x = 1,968.18 × 961.16
  4. Step 4: Simplify right side
    1,426.76x = 1,891,735.89
  5. Step 5: Solve for x
    x = 1,891,735.89/1,426.76
  6. Step 6: Final answer
    x = 1,325.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.