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Finding the Fourth Proportional to 2,281.65, 3,424.10 and 2,061.33

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Solution

The fourth proportional to 2,281.65, 3,424.10 and 2,061.33 is: 3,093.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.65 : 3,424.10 = 2,061.33 : x
  2. Step 2: Convert to fraction form
    2,281.65/3,424.10 = 2,061.33/x
  3. Step 3: Cross multiply
    2,281.65x = 3,424.10 × 2,061.33
  4. Step 4: Simplify right side
    2,281.65x = 7,058,189.75
  5. Step 5: Solve for x
    x = 7,058,189.75/2,281.65
  6. Step 6: Final answer
    x = 3,093.46

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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.