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Finding the Fourth Proportional to 3,309.78, 4,567.38 and 1,817.70

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Solution

The fourth proportional to 3,309.78, 4,567.38 and 1,817.70 is: 2,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.78 : 4,567.38 = 1,817.70 : x
  2. Step 2: Convert to fraction form
    3,309.78/4,567.38 = 1,817.70/x
  3. Step 3: Cross multiply
    3,309.78x = 4,567.38 × 1,817.70
  4. Step 4: Simplify right side
    3,309.78x = 8,302,126.63
  5. Step 5: Solve for x
    x = 8,302,126.63/3,309.78
  6. Step 6: Final answer
    x = 2,508.36

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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.