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Finding the Fourth Proportional to 2,298.38, 3,180.12 and 2,004.26

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Solution

The fourth proportional to 2,298.38, 3,180.12 and 2,004.26 is: 2,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.38 : 3,180.12 = 2,004.26 : x
  2. Step 2: Convert to fraction form
    2,298.38/3,180.12 = 2,004.26/x
  3. Step 3: Cross multiply
    2,298.38x = 3,180.12 × 2,004.26
  4. Step 4: Simplify right side
    2,298.38x = 6,373,787.31
  5. Step 5: Solve for x
    x = 6,373,787.31/2,298.38
  6. Step 6: Final answer
    x = 2,773.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.