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Finding the Fourth Proportional to 2,078.52, 3,118.36 and 846.81

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Solution

The fourth proportional to 2,078.52, 3,118.36 and 846.81 is: 1,270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.52 : 3,118.36 = 846.81 : x
  2. Step 2: Convert to fraction form
    2,078.52/3,118.36 = 846.81/x
  3. Step 3: Cross multiply
    2,078.52x = 3,118.36 × 846.81
  4. Step 4: Simplify right side
    2,078.52x = 2,640,658.43
  5. Step 5: Solve for x
    x = 2,640,658.43/2,078.52
  6. Step 6: Final answer
    x = 1,270.45

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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.