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Finding the Fourth Proportional to 2,471.01, 3,408.36 and 1,585.41

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Solution

The fourth proportional to 2,471.01, 3,408.36 and 1,585.41 is: 2,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.01 : 3,408.36 = 1,585.41 : x
  2. Step 2: Convert to fraction form
    2,471.01/3,408.36 = 1,585.41/x
  3. Step 3: Cross multiply
    2,471.01x = 3,408.36 × 1,585.41
  4. Step 4: Simplify right side
    2,471.01x = 5,403,648.03
  5. Step 5: Solve for x
    x = 5,403,648.03/2,471.01
  6. Step 6: Final answer
    x = 2,186.82

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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.