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Finding the Fourth Proportional to 3,297.65, 4,550.76 and 2,038.42

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Solution

The fourth proportional to 3,297.65, 4,550.76 and 2,038.42 is: 2,813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.65 : 4,550.76 = 2,038.42 : x
  2. Step 2: Convert to fraction form
    3,297.65/4,550.76 = 2,038.42/x
  3. Step 3: Cross multiply
    3,297.65x = 4,550.76 × 2,038.42
  4. Step 4: Simplify right side
    3,297.65x = 9,276,360.20
  5. Step 5: Solve for x
    x = 9,276,360.20/3,297.65
  6. Step 6: Final answer
    x = 2,813.02

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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.