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Finding the Fourth Proportional to 2,404.68, 3,319.34 and 1,410.80

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Solution

The fourth proportional to 2,404.68, 3,319.34 and 1,410.80 is: 1,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.68 : 3,319.34 = 1,410.80 : x
  2. Step 2: Convert to fraction form
    2,404.68/3,319.34 = 1,410.80/x
  3. Step 3: Cross multiply
    2,404.68x = 3,319.34 × 1,410.80
  4. Step 4: Simplify right side
    2,404.68x = 4,682,914.45
  5. Step 5: Solve for x
    x = 4,682,914.45/2,404.68
  6. Step 6: Final answer
    x = 1,947.42

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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.