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Finding the Fourth Proportional to 2,113.41, 3,169.33 and 726.35

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Solution

The fourth proportional to 2,113.41, 3,169.33 and 726.35 is: 1,089.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.41 : 3,169.33 = 726.35 : x
  2. Step 2: Convert to fraction form
    2,113.41/3,169.33 = 726.35/x
  3. Step 3: Cross multiply
    2,113.41x = 3,169.33 × 726.35
  4. Step 4: Simplify right side
    2,113.41x = 2,302,048.95
  5. Step 5: Solve for x
    x = 2,302,048.95/2,113.41
  6. Step 6: Final answer
    x = 1,089.26

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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.