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Finding the Fourth Proportional to 2,078.38, 3,116.64 and 617.02

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Solution

The fourth proportional to 2,078.38, 3,116.64 and 617.02 is: 925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.38 : 3,116.64 = 617.02 : x
  2. Step 2: Convert to fraction form
    2,078.38/3,116.64 = 617.02/x
  3. Step 3: Cross multiply
    2,078.38x = 3,116.64 × 617.02
  4. Step 4: Simplify right side
    2,078.38x = 1,923,029.21
  5. Step 5: Solve for x
    x = 1,923,029.21/2,078.38
  6. Step 6: Final answer
    x = 925.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.