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Finding the Fourth Proportional to 2,317.91, 3,477.10 and 674.48

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Solution

The fourth proportional to 2,317.91, 3,477.10 and 674.48 is: 1,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.91 : 3,477.10 = 674.48 : x
  2. Step 2: Convert to fraction form
    2,317.91/3,477.10 = 674.48/x
  3. Step 3: Cross multiply
    2,317.91x = 3,477.10 × 674.48
  4. Step 4: Simplify right side
    2,317.91x = 2,345,215.34
  5. Step 5: Solve for x
    x = 2,345,215.34/2,317.91
  6. Step 6: Final answer
    x = 1,011.78

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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.