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Finding the Fourth Proportional to 2,297.76, 3,442.54 and 1,321.82

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Solution

The fourth proportional to 2,297.76, 3,442.54 and 1,321.82 is: 1,980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.76 : 3,442.54 = 1,321.82 : x
  2. Step 2: Convert to fraction form
    2,297.76/3,442.54 = 1,321.82/x
  3. Step 3: Cross multiply
    2,297.76x = 3,442.54 × 1,321.82
  4. Step 4: Simplify right side
    2,297.76x = 4,550,401.01
  5. Step 5: Solve for x
    x = 4,550,401.01/2,297.76
  6. Step 6: Final answer
    x = 1,980.36

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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.