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Finding the Fourth Proportional to 2,952.29, 4,427.02 and 1,720.05

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Solution

The fourth proportional to 2,952.29, 4,427.02 and 1,720.05 is: 2,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.29 : 4,427.02 = 1,720.05 : x
  2. Step 2: Convert to fraction form
    2,952.29/4,427.02 = 1,720.05/x
  3. Step 3: Cross multiply
    2,952.29x = 4,427.02 × 1,720.05
  4. Step 4: Simplify right side
    2,952.29x = 7,614,687.15
  5. Step 5: Solve for x
    x = 7,614,687.15/2,952.29
  6. Step 6: Final answer
    x = 2,579.25

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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.