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Finding the Fourth Proportional to 2,708.58, 3,734.01 and 1,922.34

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Solution

The fourth proportional to 2,708.58, 3,734.01 and 1,922.34 is: 2,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.58 : 3,734.01 = 1,922.34 : x
  2. Step 2: Convert to fraction form
    2,708.58/3,734.01 = 1,922.34/x
  3. Step 3: Cross multiply
    2,708.58x = 3,734.01 × 1,922.34
  4. Step 4: Simplify right side
    2,708.58x = 7,178,036.78
  5. Step 5: Solve for x
    x = 7,178,036.78/2,708.58
  6. Step 6: Final answer
    x = 2,650.11

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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.