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Finding the Fourth Proportional to 3,205.80, 4,784.13 and 2,471.40

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Solution

The fourth proportional to 3,205.80, 4,784.13 and 2,471.40 is: 3,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.80 : 4,784.13 = 2,471.40 : x
  2. Step 2: Convert to fraction form
    3,205.80/4,784.13 = 2,471.40/x
  3. Step 3: Cross multiply
    3,205.80x = 4,784.13 × 2,471.40
  4. Step 4: Simplify right side
    3,205.80x = 11,823,498.88
  5. Step 5: Solve for x
    x = 11,823,498.88/3,205.80
  6. Step 6: Final answer
    x = 3,688.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.