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Finding the Fourth Proportional to 2,078.94, 3,118.53 and 780.42

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Solution

The fourth proportional to 2,078.94, 3,118.53 and 780.42 is: 1,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.94 : 3,118.53 = 780.42 : x
  2. Step 2: Convert to fraction form
    2,078.94/3,118.53 = 780.42/x
  3. Step 3: Cross multiply
    2,078.94x = 3,118.53 × 780.42
  4. Step 4: Simplify right side
    2,078.94x = 2,433,763.18
  5. Step 5: Solve for x
    x = 2,433,763.18/2,078.94
  6. Step 6: Final answer
    x = 1,170.68

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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.