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Finding the Fourth Proportional to 2,317.86, 3,477.30 and 674.56

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Solution

The fourth proportional to 2,317.86, 3,477.30 and 674.56 is: 1,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.86 : 3,477.30 = 674.56 : x
  2. Step 2: Convert to fraction form
    2,317.86/3,477.30 = 674.56/x
  3. Step 3: Cross multiply
    2,317.86x = 3,477.30 × 674.56
  4. Step 4: Simplify right side
    2,317.86x = 2,345,647.49
  5. Step 5: Solve for x
    x = 2,345,647.49/2,317.86
  6. Step 6: Final answer
    x = 1,011.99

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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.