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Finding the Fourth Proportional to 2,468.93, 3,698.12 and 2,298.02

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Solution

The fourth proportional to 2,468.93, 3,698.12 and 2,298.02 is: 3,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.93 : 3,698.12 = 2,298.02 : x
  2. Step 2: Convert to fraction form
    2,468.93/3,698.12 = 2,298.02/x
  3. Step 3: Cross multiply
    2,468.93x = 3,698.12 × 2,298.02
  4. Step 4: Simplify right side
    2,468.93x = 8,498,340.98
  5. Step 5: Solve for x
    x = 8,498,340.98/2,468.93
  6. Step 6: Final answer
    x = 3,442.12

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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.