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Finding the Fourth Proportional to 2,297.84, 3,171.12 and 1,401.32

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Solution

The fourth proportional to 2,297.84, 3,171.12 and 1,401.32 is: 1,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.84 : 3,171.12 = 1,401.32 : x
  2. Step 2: Convert to fraction form
    2,297.84/3,171.12 = 1,401.32/x
  3. Step 3: Cross multiply
    2,297.84x = 3,171.12 × 1,401.32
  4. Step 4: Simplify right side
    2,297.84x = 4,443,753.88
  5. Step 5: Solve for x
    x = 4,443,753.88/2,297.84
  6. Step 6: Final answer
    x = 1,933.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.