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Finding the Fourth Proportional to 3,083.06, 4,623.51 and 891.20

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Solution

The fourth proportional to 3,083.06, 4,623.51 and 891.20 is: 1,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.06 : 4,623.51 = 891.20 : x
  2. Step 2: Convert to fraction form
    3,083.06/4,623.51 = 891.20/x
  3. Step 3: Cross multiply
    3,083.06x = 4,623.51 × 891.20
  4. Step 4: Simplify right side
    3,083.06x = 4,120,472.11
  5. Step 5: Solve for x
    x = 4,120,472.11/3,083.06
  6. Step 6: Final answer
    x = 1,336.49

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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.