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Finding the Fourth Proportional to 2,404.84, 3,317.60 and 2,109.20

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Solution

The fourth proportional to 2,404.84, 3,317.60 and 2,109.20 is: 2,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.84 : 3,317.60 = 2,109.20 : x
  2. Step 2: Convert to fraction form
    2,404.84/3,317.60 = 2,109.20/x
  3. Step 3: Cross multiply
    2,404.84x = 3,317.60 × 2,109.20
  4. Step 4: Simplify right side
    2,404.84x = 6,997,481.92
  5. Step 5: Solve for x
    x = 6,997,481.92/2,404.84
  6. Step 6: Final answer
    x = 2,909.75

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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.