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Finding the Fourth Proportional to 2,078.84, 3,118.26 and 1,952.12

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Solution

The fourth proportional to 2,078.84, 3,118.26 and 1,952.12 is: 2,928.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.84 : 3,118.26 = 1,952.12 : x
  2. Step 2: Convert to fraction form
    2,078.84/3,118.26 = 1,952.12/x
  3. Step 3: Cross multiply
    2,078.84x = 3,118.26 × 1,952.12
  4. Step 4: Simplify right side
    2,078.84x = 6,087,217.71
  5. Step 5: Solve for x
    x = 6,087,217.71/2,078.84
  6. Step 6: Final answer
    x = 2,928.18

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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.