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Finding the Fourth Proportional to 2,228.89, 3,343.23 and 585.40

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Solution

The fourth proportional to 2,228.89, 3,343.23 and 585.40 is: 878.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.89 : 3,343.23 = 585.40 : x
  2. Step 2: Convert to fraction form
    2,228.89/3,343.23 = 585.40/x
  3. Step 3: Cross multiply
    2,228.89x = 3,343.23 × 585.40
  4. Step 4: Simplify right side
    2,228.89x = 1,957,126.84
  5. Step 5: Solve for x
    x = 1,957,126.84/2,228.89
  6. Step 6: Final answer
    x = 878.07

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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.