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Finding the Fourth Proportional to 2,302.88, 3,177.81 and 1,294.52

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Solution

The fourth proportional to 2,302.88, 3,177.81 and 1,294.52 is: 1,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.88 : 3,177.81 = 1,294.52 : x
  2. Step 2: Convert to fraction form
    2,302.88/3,177.81 = 1,294.52/x
  3. Step 3: Cross multiply
    2,302.88x = 3,177.81 × 1,294.52
  4. Step 4: Simplify right side
    2,302.88x = 4,113,722.71
  5. Step 5: Solve for x
    x = 4,113,722.71/2,302.88
  6. Step 6: Final answer
    x = 1,786.34

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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.