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Finding the Fourth Proportional to 2,903.24, 4,005.25 and 1,724.09

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Solution

The fourth proportional to 2,903.24, 4,005.25 and 1,724.09 is: 2,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.24 : 4,005.25 = 1,724.09 : x
  2. Step 2: Convert to fraction form
    2,903.24/4,005.25 = 1,724.09/x
  3. Step 3: Cross multiply
    2,903.24x = 4,005.25 × 1,724.09
  4. Step 4: Simplify right side
    2,903.24x = 6,905,387.14
  5. Step 5: Solve for x
    x = 6,905,387.14/2,903.24
  6. Step 6: Final answer
    x = 2,378.51

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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.