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Finding the Fourth Proportional to 2,297.66, 3,171.29 and 1,401.70

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Solution

The fourth proportional to 2,297.66, 3,171.29 and 1,401.70 is: 1,934.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.66 : 3,171.29 = 1,401.70 : x
  2. Step 2: Convert to fraction form
    2,297.66/3,171.29 = 1,401.70/x
  3. Step 3: Cross multiply
    2,297.66x = 3,171.29 × 1,401.70
  4. Step 4: Simplify right side
    2,297.66x = 4,445,193.69
  5. Step 5: Solve for x
    x = 4,445,193.69/2,297.66
  6. Step 6: Final answer
    x = 1,934.66

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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.