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Finding the Fourth Proportional to 2,297.70, 3,445.38 and 1,127.79

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Solution

The fourth proportional to 2,297.70, 3,445.38 and 1,127.79 is: 1,691.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.70 : 3,445.38 = 1,127.79 : x
  2. Step 2: Convert to fraction form
    2,297.70/3,445.38 = 1,127.79/x
  3. Step 3: Cross multiply
    2,297.70x = 3,445.38 × 1,127.79
  4. Step 4: Simplify right side
    2,297.70x = 3,885,665.11
  5. Step 5: Solve for x
    x = 3,885,665.11/2,297.70
  6. Step 6: Final answer
    x = 1,691.11

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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.