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Finding the Fourth Proportional to 1,981.64, 2,734.68 and 1,385

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Solution

The fourth proportional to 1,981.64, 2,734.68 and 1,385 is: 1,911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.64 : 2,734.68 = 1,385 : x
  2. Step 2: Convert to fraction form
    1,981.64/2,734.68 = 1,385/x
  3. Step 3: Cross multiply
    1,981.64x = 2,734.68 × 1,385
  4. Step 4: Simplify right side
    1,981.64x = 3,787,531.80
  5. Step 5: Solve for x
    x = 3,787,531.80/1,981.64
  6. Step 6: Final answer
    x = 1,911.31

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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.