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Finding the Fourth Proportional to 2,471.91, 3,410.66 and 1,476.99

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Solution

The fourth proportional to 2,471.91, 3,410.66 and 1,476.99 is: 2,037.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.91 : 3,410.66 = 1,476.99 : x
  2. Step 2: Convert to fraction form
    2,471.91/3,410.66 = 1,476.99/x
  3. Step 3: Cross multiply
    2,471.91x = 3,410.66 × 1,476.99
  4. Step 4: Simplify right side
    2,471.91x = 5,037,514.41
  5. Step 5: Solve for x
    x = 5,037,514.41/2,471.91
  6. Step 6: Final answer
    x = 2,037.91

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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.