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Finding the Fourth Proportional to 2,034.12, 3,049.13 and 802.40

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Solution

The fourth proportional to 2,034.12, 3,049.13 and 802.40 is: 1,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.12 : 3,049.13 = 802.40 : x
  2. Step 2: Convert to fraction form
    2,034.12/3,049.13 = 802.40/x
  3. Step 3: Cross multiply
    2,034.12x = 3,049.13 × 802.40
  4. Step 4: Simplify right side
    2,034.12x = 2,446,602.65
  5. Step 5: Solve for x
    x = 2,446,602.65/2,034.12
  6. Step 6: Final answer
    x = 1,202.78

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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.