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Finding the Fourth Proportional to 1,489.16, 2,232.66 and 941.24

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Solution

The fourth proportional to 1,489.16, 2,232.66 and 941.24 is: 1,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.16 : 2,232.66 = 941.24 : x
  2. Step 2: Convert to fraction form
    1,489.16/2,232.66 = 941.24/x
  3. Step 3: Cross multiply
    1,489.16x = 2,232.66 × 941.24
  4. Step 4: Simplify right side
    1,489.16x = 2,101,468.90
  5. Step 5: Solve for x
    x = 2,101,468.90/1,489.16
  6. Step 6: Final answer
    x = 1,411.18

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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.