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Finding the Fourth Proportional to 3,462.81, 4,778.68 and 2,047.01

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Solution

The fourth proportional to 3,462.81, 4,778.68 and 2,047.01 is: 2,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.81 : 4,778.68 = 2,047.01 : x
  2. Step 2: Convert to fraction form
    3,462.81/4,778.68 = 2,047.01/x
  3. Step 3: Cross multiply
    3,462.81x = 4,778.68 × 2,047.01
  4. Step 4: Simplify right side
    3,462.81x = 9,782,018.01
  5. Step 5: Solve for x
    x = 9,782,018.01/3,462.81
  6. Step 6: Final answer
    x = 2,824.87

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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.