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Finding the Fourth Proportional to 2,298.96, 3,171.72 and 1,471.44

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Solution

The fourth proportional to 2,298.96, 3,171.72 and 1,471.44 is: 2,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.96 : 3,171.72 = 1,471.44 : x
  2. Step 2: Convert to fraction form
    2,298.96/3,171.72 = 1,471.44/x
  3. Step 3: Cross multiply
    2,298.96x = 3,171.72 × 1,471.44
  4. Step 4: Simplify right side
    2,298.96x = 4,666,995.68
  5. Step 5: Solve for x
    x = 4,666,995.68/2,298.96
  6. Step 6: Final answer
    x = 2,030.05

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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.