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Finding the Fourth Proportional to 2,974.04, 4,102.08 and 1,978.82

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Solution

The fourth proportional to 2,974.04, 4,102.08 and 1,978.82 is: 2,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.04 : 4,102.08 = 1,978.82 : x
  2. Step 2: Convert to fraction form
    2,974.04/4,102.08 = 1,978.82/x
  3. Step 3: Cross multiply
    2,974.04x = 4,102.08 × 1,978.82
  4. Step 4: Simplify right side
    2,974.04x = 8,117,277.95
  5. Step 5: Solve for x
    x = 8,117,277.95/2,974.04
  6. Step 6: Final answer
    x = 2,729.38

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1.5x scale

Why These Related Problems?

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