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Finding the Fourth Proportional to 1,726.31, 2,589.85 and 630.65

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Solution

The fourth proportional to 1,726.31, 2,589.85 and 630.65 is: 946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.31 : 2,589.85 = 630.65 : x
  2. Step 2: Convert to fraction form
    1,726.31/2,589.85 = 630.65/x
  3. Step 3: Cross multiply
    1,726.31x = 2,589.85 × 630.65
  4. Step 4: Simplify right side
    1,726.31x = 1,633,296.17
  5. Step 5: Solve for x
    x = 1,633,296.17/1,726.31
  6. Step 6: Final answer
    x = 946.12

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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.