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Finding the Fourth Proportional to 2,041.95, 3,041.82 and 1,980.80

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Solution

The fourth proportional to 2,041.95, 3,041.82 and 1,980.80 is: 2,950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.95 : 3,041.82 = 1,980.80 : x
  2. Step 2: Convert to fraction form
    2,041.95/3,041.82 = 1,980.80/x
  3. Step 3: Cross multiply
    2,041.95x = 3,041.82 × 1,980.80
  4. Step 4: Simplify right side
    2,041.95x = 6,025,221.85
  5. Step 5: Solve for x
    x = 6,025,221.85/2,041.95
  6. Step 6: Final answer
    x = 2,950.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.