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Finding the Fourth Proportional to 2,161.64, 2,983.04 and 1,278.18

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Solution

The fourth proportional to 2,161.64, 2,983.04 and 1,278.18 is: 1,763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.64 : 2,983.04 = 1,278.18 : x
  2. Step 2: Convert to fraction form
    2,161.64/2,983.04 = 1,278.18/x
  3. Step 3: Cross multiply
    2,161.64x = 2,983.04 × 1,278.18
  4. Step 4: Simplify right side
    2,161.64x = 3,812,862.07
  5. Step 5: Solve for x
    x = 3,812,862.07/2,161.64
  6. Step 6: Final answer
    x = 1,763.87

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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.