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Finding the Fourth Proportional to 2,292.40, 3,435.40 and 1,949.04

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Solution

The fourth proportional to 2,292.40, 3,435.40 and 1,949.04 is: 2,920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.40 : 3,435.40 = 1,949.04 : x
  2. Step 2: Convert to fraction form
    2,292.40/3,435.40 = 1,949.04/x
  3. Step 3: Cross multiply
    2,292.40x = 3,435.40 × 1,949.04
  4. Step 4: Simplify right side
    2,292.40x = 6,695,732.02
  5. Step 5: Solve for x
    x = 6,695,732.02/2,292.40
  6. Step 6: Final answer
    x = 2,920.84

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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.