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Finding the Fourth Proportional to 2,297.34, 3,167.37 and 1,668.78

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Solution

The fourth proportional to 2,297.34, 3,167.37 and 1,668.78 is: 2,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.34 : 3,167.37 = 1,668.78 : x
  2. Step 2: Convert to fraction form
    2,297.34/3,167.37 = 1,668.78/x
  3. Step 3: Cross multiply
    2,297.34x = 3,167.37 × 1,668.78
  4. Step 4: Simplify right side
    2,297.34x = 5,285,643.71
  5. Step 5: Solve for x
    x = 5,285,643.71/2,297.34
  6. Step 6: Final answer
    x = 2,300.77

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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.