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Finding the Fourth Proportional to 2,587.98, 3,571.31 and 1,409.05

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Solution

The fourth proportional to 2,587.98, 3,571.31 and 1,409.05 is: 1,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.98 : 3,571.31 = 1,409.05 : x
  2. Step 2: Convert to fraction form
    2,587.98/3,571.31 = 1,409.05/x
  3. Step 3: Cross multiply
    2,587.98x = 3,571.31 × 1,409.05
  4. Step 4: Simplify right side
    2,587.98x = 5,032,156.24
  5. Step 5: Solve for x
    x = 5,032,156.24/2,587.98
  6. Step 6: Final answer
    x = 1,944.43

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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.