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Finding the Fourth Proportional to 2,078.93, 3,118.76 and 780.41

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Solution

The fourth proportional to 2,078.93, 3,118.76 and 780.41 is: 1,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.93 : 3,118.76 = 780.41 : x
  2. Step 2: Convert to fraction form
    2,078.93/3,118.76 = 780.41/x
  3. Step 3: Cross multiply
    2,078.93x = 3,118.76 × 780.41
  4. Step 4: Simplify right side
    2,078.93x = 2,433,911.49
  5. Step 5: Solve for x
    x = 2,433,911.49/2,078.93
  6. Step 6: Final answer
    x = 1,170.75

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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.