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Finding the Fourth Proportional to 2,281.34, 3,415.92 and 1,552.34

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Solution

The fourth proportional to 2,281.34, 3,415.92 and 1,552.34 is: 2,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.34 : 3,415.92 = 1,552.34 : x
  2. Step 2: Convert to fraction form
    2,281.34/3,415.92 = 1,552.34/x
  3. Step 3: Cross multiply
    2,281.34x = 3,415.92 × 1,552.34
  4. Step 4: Simplify right side
    2,281.34x = 5,302,669.25
  5. Step 5: Solve for x
    x = 5,302,669.25/2,281.34
  6. Step 6: Final answer
    x = 2,324.37

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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.