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Finding the Fourth Proportional to 2,404.87, 3,319.10 and 2,011.75

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Solution

The fourth proportional to 2,404.87, 3,319.10 and 2,011.75 is: 2,776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.87 : 3,319.10 = 2,011.75 : x
  2. Step 2: Convert to fraction form
    2,404.87/3,319.10 = 2,011.75/x
  3. Step 3: Cross multiply
    2,404.87x = 3,319.10 × 2,011.75
  4. Step 4: Simplify right side
    2,404.87x = 6,677,199.43
  5. Step 5: Solve for x
    x = 6,677,199.43/2,404.87
  6. Step 6: Final answer
    x = 2,776.53

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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.