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Finding the Fourth Proportional to 2,984.82, 4,117.95 and 1,936.50

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Solution

The fourth proportional to 2,984.82, 4,117.95 and 1,936.50 is: 2,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.82 : 4,117.95 = 1,936.50 : x
  2. Step 2: Convert to fraction form
    2,984.82/4,117.95 = 1,936.50/x
  3. Step 3: Cross multiply
    2,984.82x = 4,117.95 × 1,936.50
  4. Step 4: Simplify right side
    2,984.82x = 7,974,410.18
  5. Step 5: Solve for x
    x = 7,974,410.18/2,984.82
  6. Step 6: Final answer
    x = 2,671.66

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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.