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Finding the Fourth Proportional to 2,013.18, 3,017.92 and 780.27

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Solution

The fourth proportional to 2,013.18, 3,017.92 and 780.27 is: 1,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.18 : 3,017.92 = 780.27 : x
  2. Step 2: Convert to fraction form
    2,013.18/3,017.92 = 780.27/x
  3. Step 3: Cross multiply
    2,013.18x = 3,017.92 × 780.27
  4. Step 4: Simplify right side
    2,013.18x = 2,354,792.44
  5. Step 5: Solve for x
    x = 2,354,792.44/2,013.18
  6. Step 6: Final answer
    x = 1,169.69

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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.