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Finding the Fourth Proportional to 2,464.83, 3,398.67 and 2,015.28

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Solution

The fourth proportional to 2,464.83, 3,398.67 and 2,015.28 is: 2,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.83 : 3,398.67 = 2,015.28 : x
  2. Step 2: Convert to fraction form
    2,464.83/3,398.67 = 2,015.28/x
  3. Step 3: Cross multiply
    2,464.83x = 3,398.67 × 2,015.28
  4. Step 4: Simplify right side
    2,464.83x = 6,849,271.68
  5. Step 5: Solve for x
    x = 6,849,271.68/2,464.83
  6. Step 6: Final answer
    x = 2,778.80

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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.