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Finding the Fourth Proportional to 2,302.57, 3,177.75 and 1,308.16

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Solution

The fourth proportional to 2,302.57, 3,177.75 and 1,308.16 is: 1,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.57 : 3,177.75 = 1,308.16 : x
  2. Step 2: Convert to fraction form
    2,302.57/3,177.75 = 1,308.16/x
  3. Step 3: Cross multiply
    2,302.57x = 3,177.75 × 1,308.16
  4. Step 4: Simplify right side
    2,302.57x = 4,157,005.44
  5. Step 5: Solve for x
    x = 4,157,005.44/2,302.57
  6. Step 6: Final answer
    x = 1,805.38

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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.