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Finding the Fourth Proportional to 2,820.70, 3,891.36 and 1,934.95

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Solution

The fourth proportional to 2,820.70, 3,891.36 and 1,934.95 is: 2,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.70 : 3,891.36 = 1,934.95 : x
  2. Step 2: Convert to fraction form
    2,820.70/3,891.36 = 1,934.95/x
  3. Step 3: Cross multiply
    2,820.70x = 3,891.36 × 1,934.95
  4. Step 4: Simplify right side
    2,820.70x = 7,529,587.03
  5. Step 5: Solve for x
    x = 7,529,587.03/2,820.70
  6. Step 6: Final answer
    x = 2,669.40

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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.