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Finding the Fourth Proportional to 2,048.10, 3,071.81 and 878.29

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Solution

The fourth proportional to 2,048.10, 3,071.81 and 878.29 is: 1,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.10 : 3,071.81 = 878.29 : x
  2. Step 2: Convert to fraction form
    2,048.10/3,071.81 = 878.29/x
  3. Step 3: Cross multiply
    2,048.10x = 3,071.81 × 878.29
  4. Step 4: Simplify right side
    2,048.10x = 2,697,946.04
  5. Step 5: Solve for x
    x = 2,697,946.04/2,048.10
  6. Step 6: Final answer
    x = 1,317.29

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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.