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Finding the Fourth Proportional to 2,471.54, 3,409.76 and 1,587.83

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Solution

The fourth proportional to 2,471.54, 3,409.76 and 1,587.83 is: 2,190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.54 : 3,409.76 = 1,587.83 : x
  2. Step 2: Convert to fraction form
    2,471.54/3,409.76 = 1,587.83/x
  3. Step 3: Cross multiply
    2,471.54x = 3,409.76 × 1,587.83
  4. Step 4: Simplify right side
    2,471.54x = 5,414,106.14
  5. Step 5: Solve for x
    x = 5,414,106.14/2,471.54
  6. Step 6: Final answer
    x = 2,190.58

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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.