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Finding the Fourth Proportional to 2,686.77, 4,030.26 and 838.05

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Solution

The fourth proportional to 2,686.77, 4,030.26 and 838.05 is: 1,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.77 : 4,030.26 = 838.05 : x
  2. Step 2: Convert to fraction form
    2,686.77/4,030.26 = 838.05/x
  3. Step 3: Cross multiply
    2,686.77x = 4,030.26 × 838.05
  4. Step 4: Simplify right side
    2,686.77x = 3,377,559.39
  5. Step 5: Solve for x
    x = 3,377,559.39/2,686.77
  6. Step 6: Final answer
    x = 1,257.11

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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.