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Finding the Fourth Proportional to 2,561.84, 3,847.40 and 2,356.04

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Solution

The fourth proportional to 2,561.84, 3,847.40 and 2,356.04 is: 3,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.84 : 3,847.40 = 2,356.04 : x
  2. Step 2: Convert to fraction form
    2,561.84/3,847.40 = 2,356.04/x
  3. Step 3: Cross multiply
    2,561.84x = 3,847.40 × 2,356.04
  4. Step 4: Simplify right side
    2,561.84x = 9,064,628.30
  5. Step 5: Solve for x
    x = 9,064,628.30/2,561.84
  6. Step 6: Final answer
    x = 3,538.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.