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Finding the Fourth Proportional to 3,404.12, 4,698.03 and 2,078.60

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Solution

The fourth proportional to 3,404.12, 4,698.03 and 2,078.60 is: 2,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.12 : 4,698.03 = 2,078.60 : x
  2. Step 2: Convert to fraction form
    3,404.12/4,698.03 = 2,078.60/x
  3. Step 3: Cross multiply
    3,404.12x = 4,698.03 × 2,078.60
  4. Step 4: Simplify right side
    3,404.12x = 9,765,325.16
  5. Step 5: Solve for x
    x = 9,765,325.16/3,404.12
  6. Step 6: Final answer
    x = 2,868.68

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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.