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Finding the Fourth Proportional to 2,048.83, 3,073.24 and 878.07

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Solution

The fourth proportional to 2,048.83, 3,073.24 and 878.07 is: 1,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.83 : 3,073.24 = 878.07 : x
  2. Step 2: Convert to fraction form
    2,048.83/3,073.24 = 878.07/x
  3. Step 3: Cross multiply
    2,048.83x = 3,073.24 × 878.07
  4. Step 4: Simplify right side
    2,048.83x = 2,698,522.04
  5. Step 5: Solve for x
    x = 2,698,522.04/2,048.83
  6. Step 6: Final answer
    x = 1,317.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.