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Finding the Fourth Proportional to 2,464.25, 3,407.22 and 2,153.00

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Solution

The fourth proportional to 2,464.25, 3,407.22 and 2,153.00 is: 2,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.25 : 3,407.22 = 2,153.00 : x
  2. Step 2: Convert to fraction form
    2,464.25/3,407.22 = 2,153.00/x
  3. Step 3: Cross multiply
    2,464.25x = 3,407.22 × 2,153.00
  4. Step 4: Simplify right side
    2,464.25x = 7,335,727.62
  5. Step 5: Solve for x
    x = 7,335,727.62/2,464.25
  6. Step 6: Final answer
    x = 2,976.87

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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.