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Finding the Fourth Proportional to 1,689.72, 2,330.56 and 1,270.09

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Solution

The fourth proportional to 1,689.72, 2,330.56 and 1,270.09 is: 1,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.72 : 2,330.56 = 1,270.09 : x
  2. Step 2: Convert to fraction form
    1,689.72/2,330.56 = 1,270.09/x
  3. Step 3: Cross multiply
    1,689.72x = 2,330.56 × 1,270.09
  4. Step 4: Simplify right side
    1,689.72x = 2,960,020.95
  5. Step 5: Solve for x
    x = 2,960,020.95/1,689.72
  6. Step 6: Final answer
    x = 1,751.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.