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Finding the Fourth Proportional to 2,870.20, 4,305.30 and 922.60

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Solution

The fourth proportional to 2,870.20, 4,305.30 and 922.60 is: 1,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.20 : 4,305.30 = 922.60 : x
  2. Step 2: Convert to fraction form
    2,870.20/4,305.30 = 922.60/x
  3. Step 3: Cross multiply
    2,870.20x = 4,305.30 × 922.60
  4. Step 4: Simplify right side
    2,870.20x = 3,972,069.78
  5. Step 5: Solve for x
    x = 3,972,069.78/2,870.20
  6. Step 6: Final answer
    x = 1,383.90

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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.