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Finding the Fourth Proportional to 2,291.87, 3,162.53 and 1,297.13

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Solution

The fourth proportional to 2,291.87, 3,162.53 and 1,297.13 is: 1,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.87 : 3,162.53 = 1,297.13 : x
  2. Step 2: Convert to fraction form
    2,291.87/3,162.53 = 1,297.13/x
  3. Step 3: Cross multiply
    2,291.87x = 3,162.53 × 1,297.13
  4. Step 4: Simplify right side
    2,291.87x = 4,102,190.24
  5. Step 5: Solve for x
    x = 4,102,190.24/2,291.87
  6. Step 6: Final answer
    x = 1,789.89

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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.