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Finding the Fourth Proportional to 2,471.60, 3,410.84 and 1,352.59

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Solution

The fourth proportional to 2,471.60, 3,410.84 and 1,352.59 is: 1,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.60 : 3,410.84 = 1,352.59 : x
  2. Step 2: Convert to fraction form
    2,471.60/3,410.84 = 1,352.59/x
  3. Step 3: Cross multiply
    2,471.60x = 3,410.84 × 1,352.59
  4. Step 4: Simplify right side
    2,471.60x = 4,613,462.93
  5. Step 5: Solve for x
    x = 4,613,462.93/2,471.60
  6. Step 6: Final answer
    x = 1,866.59

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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.