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Finding the Fourth Proportional to 2,078.62, 3,117.14 and 845.70

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Solution

The fourth proportional to 2,078.62, 3,117.14 and 845.70 is: 1,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.62 : 3,117.14 = 845.70 : x
  2. Step 2: Convert to fraction form
    2,078.62/3,117.14 = 845.70/x
  3. Step 3: Cross multiply
    2,078.62x = 3,117.14 × 845.70
  4. Step 4: Simplify right side
    2,078.62x = 2,636,165.30
  5. Step 5: Solve for x
    x = 2,636,165.30/2,078.62
  6. Step 6: Final answer
    x = 1,268.23

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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.