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Finding the Fourth Proportional to 3,114.82, 4,674.54 and 1,471.87

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Solution

The fourth proportional to 3,114.82, 4,674.54 and 1,471.87 is: 2,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.82 : 4,674.54 = 1,471.87 : x
  2. Step 2: Convert to fraction form
    3,114.82/4,674.54 = 1,471.87/x
  3. Step 3: Cross multiply
    3,114.82x = 4,674.54 × 1,471.87
  4. Step 4: Simplify right side
    3,114.82x = 6,880,291.82
  5. Step 5: Solve for x
    x = 6,880,291.82/3,114.82
  6. Step 6: Final answer
    x = 2,208.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.