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Finding the Fourth Proportional to 2,468.61, 3,698.60 and 2,078.19

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Solution

The fourth proportional to 2,468.61, 3,698.60 and 2,078.19 is: 3,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.61 : 3,698.60 = 2,078.19 : x
  2. Step 2: Convert to fraction form
    2,468.61/3,698.60 = 2,078.19/x
  3. Step 3: Cross multiply
    2,468.61x = 3,698.60 × 2,078.19
  4. Step 4: Simplify right side
    2,468.61x = 7,686,383.14
  5. Step 5: Solve for x
    x = 7,686,383.14/2,468.61
  6. Step 6: Final answer
    x = 3,113.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.