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Finding the Fourth Proportional to 2,981.75, 4,115.00 and 1,655.84

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Solution

The fourth proportional to 2,981.75, 4,115.00 and 1,655.84 is: 2,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.75 : 4,115.00 = 1,655.84 : x
  2. Step 2: Convert to fraction form
    2,981.75/4,115.00 = 1,655.84/x
  3. Step 3: Cross multiply
    2,981.75x = 4,115.00 × 1,655.84
  4. Step 4: Simplify right side
    2,981.75x = 6,813,796.03
  5. Step 5: Solve for x
    x = 6,813,796.03/2,981.75
  6. Step 6: Final answer
    x = 2,285.17

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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.