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Finding the Fourth Proportional to 2,516.87, 3,471.91 and 1,606.68

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Solution

The fourth proportional to 2,516.87, 3,471.91 and 1,606.68 is: 2,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.87 : 3,471.91 = 1,606.68 : x
  2. Step 2: Convert to fraction form
    2,516.87/3,471.91 = 1,606.68/x
  3. Step 3: Cross multiply
    2,516.87x = 3,471.91 × 1,606.68
  4. Step 4: Simplify right side
    2,516.87x = 5,578,248.36
  5. Step 5: Solve for x
    x = 5,578,248.36/2,516.87
  6. Step 6: Final answer
    x = 2,216.35

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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.