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Finding the Fourth Proportional to 2,078.20, 3,117.12 and 845.74

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Solution

The fourth proportional to 2,078.20, 3,117.12 and 845.74 is: 1,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.20 : 3,117.12 = 845.74 : x
  2. Step 2: Convert to fraction form
    2,078.20/3,117.12 = 845.74/x
  3. Step 3: Cross multiply
    2,078.20x = 3,117.12 × 845.74
  4. Step 4: Simplify right side
    2,078.20x = 2,636,273.07
  5. Step 5: Solve for x
    x = 2,636,273.07/2,078.20
  6. Step 6: Final answer
    x = 1,268.54

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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.