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Finding the Fourth Proportional to 2,074.84, 3,112.26 and 1,948.12

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Solution

The fourth proportional to 2,074.84, 3,112.26 and 1,948.12 is: 2,922.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.84 : 3,112.26 = 1,948.12 : x
  2. Step 2: Convert to fraction form
    2,074.84/3,112.26 = 1,948.12/x
  3. Step 3: Cross multiply
    2,074.84x = 3,112.26 × 1,948.12
  4. Step 4: Simplify right side
    2,074.84x = 6,063,055.95
  5. Step 5: Solve for x
    x = 6,063,055.95/2,074.84
  6. Step 6: Final answer
    x = 2,922.18

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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.