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Finding the Fourth Proportional to 2,292.40, 3,436.20 and 905.20

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Solution

The fourth proportional to 2,292.40, 3,436.20 and 905.20 is: 1,356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.40 : 3,436.20 = 905.20 : x
  2. Step 2: Convert to fraction form
    2,292.40/3,436.20 = 905.20/x
  3. Step 3: Cross multiply
    2,292.40x = 3,436.20 × 905.20
  4. Step 4: Simplify right side
    2,292.40x = 3,110,448.24
  5. Step 5: Solve for x
    x = 3,110,448.24/2,292.40
  6. Step 6: Final answer
    x = 1,356.85

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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.