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Finding the Fourth Proportional to 2,281.34, 3,406.62 and 2,257.22

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Solution

The fourth proportional to 2,281.34, 3,406.62 and 2,257.22 is: 3,370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.34 : 3,406.62 = 2,257.22 : x
  2. Step 2: Convert to fraction form
    2,281.34/3,406.62 = 2,257.22/x
  3. Step 3: Cross multiply
    2,281.34x = 3,406.62 × 2,257.22
  4. Step 4: Simplify right side
    2,281.34x = 7,689,495.08
  5. Step 5: Solve for x
    x = 7,689,495.08/2,281.34
  6. Step 6: Final answer
    x = 3,370.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.