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Finding the Fourth Proportional to 2,227.56, 3,341.04 and 928.84

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Solution

The fourth proportional to 2,227.56, 3,341.04 and 928.84 is: 1,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.56 : 3,341.04 = 928.84 : x
  2. Step 2: Convert to fraction form
    2,227.56/3,341.04 = 928.84/x
  3. Step 3: Cross multiply
    2,227.56x = 3,341.04 × 928.84
  4. Step 4: Simplify right side
    2,227.56x = 3,103,291.59
  5. Step 5: Solve for x
    x = 3,103,291.59/2,227.56
  6. Step 6: Final answer
    x = 1,393.13

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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.