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Finding the Fourth Proportional to 1,567.78, 2,351.36 and 1,489.73

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Solution

The fourth proportional to 1,567.78, 2,351.36 and 1,489.73 is: 2,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.78 : 2,351.36 = 1,489.73 : x
  2. Step 2: Convert to fraction form
    1,567.78/2,351.36 = 1,489.73/x
  3. Step 3: Cross multiply
    1,567.78x = 2,351.36 × 1,489.73
  4. Step 4: Simplify right side
    1,567.78x = 3,502,883.50
  5. Step 5: Solve for x
    x = 3,502,883.50/1,567.78
  6. Step 6: Final answer
    x = 2,234.30

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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.