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Finding the Fourth Proportional to 4,113.51, 6,169.03 and 1,151.23

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Solution

The fourth proportional to 4,113.51, 6,169.03 and 1,151.23 is: 1,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.51 : 6,169.03 = 1,151.23 : x
  2. Step 2: Convert to fraction form
    4,113.51/6,169.03 = 1,151.23/x
  3. Step 3: Cross multiply
    4,113.51x = 6,169.03 × 1,151.23
  4. Step 4: Simplify right side
    4,113.51x = 7,101,972.41
  5. Step 5: Solve for x
    x = 7,101,972.41/4,113.51
  6. Step 6: Final answer
    x = 1,726.50

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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.