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Finding the Fourth Proportional to 2,969.83, 4,106.19 and 2,600.78

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Solution

The fourth proportional to 2,969.83, 4,106.19 and 2,600.78 is: 3,595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.83 : 4,106.19 = 2,600.78 : x
  2. Step 2: Convert to fraction form
    2,969.83/4,106.19 = 2,600.78/x
  3. Step 3: Cross multiply
    2,969.83x = 4,106.19 × 2,600.78
  4. Step 4: Simplify right side
    2,969.83x = 10,679,286.05
  5. Step 5: Solve for x
    x = 10,679,286.05/2,969.83
  6. Step 6: Final answer
    x = 3,595.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.