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Finding the Fourth Proportional to 2,289.78, 3,437.10 and 1,747.89

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Solution

The fourth proportional to 2,289.78, 3,437.10 and 1,747.89 is: 2,623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.78 : 3,437.10 = 1,747.89 : x
  2. Step 2: Convert to fraction form
    2,289.78/3,437.10 = 1,747.89/x
  3. Step 3: Cross multiply
    2,289.78x = 3,437.10 × 1,747.89
  4. Step 4: Simplify right side
    2,289.78x = 6,007,672.72
  5. Step 5: Solve for x
    x = 6,007,672.72/2,289.78
  6. Step 6: Final answer
    x = 2,623.69

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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.