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Finding the Fourth Proportional to 2,471.00, 3,408.36 and 1,585.40

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Solution

The fourth proportional to 2,471.00, 3,408.36 and 1,585.40 is: 2,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.00 : 3,408.36 = 1,585.40 : x
  2. Step 2: Convert to fraction form
    2,471.00/3,408.36 = 1,585.40/x
  3. Step 3: Cross multiply
    2,471.00x = 3,408.36 × 1,585.40
  4. Step 4: Simplify right side
    2,471.00x = 5,403,596.90
  5. Step 5: Solve for x
    x = 5,403,596.90/2,471.00
  6. Step 6: Final answer
    x = 2,186.81

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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.