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Finding the Fourth Proportional to 2,278.88, 3,412.50 and 1,817.34

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Solution

The fourth proportional to 2,278.88, 3,412.50 and 1,817.34 is: 2,721.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.88 : 3,412.50 = 1,817.34 : x
  2. Step 2: Convert to fraction form
    2,278.88/3,412.50 = 1,817.34/x
  3. Step 3: Cross multiply
    2,278.88x = 3,412.50 × 1,817.34
  4. Step 4: Simplify right side
    2,278.88x = 6,201,656.97
  5. Step 5: Solve for x
    x = 6,201,656.97/2,278.88
  6. Step 6: Final answer
    x = 2,721.36

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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.