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Finding the Fourth Proportional to 2,078.21, 3,117.32 and 845.35

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Solution

The fourth proportional to 2,078.21, 3,117.32 and 845.35 is: 1,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.21 : 3,117.32 = 845.35 : x
  2. Step 2: Convert to fraction form
    2,078.21/3,117.32 = 845.35/x
  3. Step 3: Cross multiply
    2,078.21x = 3,117.32 × 845.35
  4. Step 4: Simplify right side
    2,078.21x = 2,635,214.44
  5. Step 5: Solve for x
    x = 2,635,214.44/2,078.21
  6. Step 6: Final answer
    x = 1,268.02

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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.