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Finding the Fourth Proportional to 2,371.32, 3,560.82 and 2,271.48

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Solution

The fourth proportional to 2,371.32, 3,560.82 and 2,271.48 is: 3,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.32 : 3,560.82 = 2,271.48 : x
  2. Step 2: Convert to fraction form
    2,371.32/3,560.82 = 2,271.48/x
  3. Step 3: Cross multiply
    2,371.32x = 3,560.82 × 2,271.48
  4. Step 4: Simplify right side
    2,371.32x = 8,088,331.41
  5. Step 5: Solve for x
    x = 8,088,331.41/2,371.32
  6. Step 6: Final answer
    x = 3,410.90

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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.