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Finding the Fourth Proportional to 2,032.13, 3,048.46 and 878.15

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Solution

The fourth proportional to 2,032.13, 3,048.46 and 878.15 is: 1,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.13 : 3,048.46 = 878.15 : x
  2. Step 2: Convert to fraction form
    2,032.13/3,048.46 = 878.15/x
  3. Step 3: Cross multiply
    2,032.13x = 3,048.46 × 878.15
  4. Step 4: Simplify right side
    2,032.13x = 2,676,987.71
  5. Step 5: Solve for x
    x = 2,676,987.71/2,032.13
  6. Step 6: Final answer
    x = 1,317.33

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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.