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Finding the Fourth Proportional to 3,209.97, 4,814.94 and 1,018.87

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Solution

The fourth proportional to 3,209.97, 4,814.94 and 1,018.87 is: 1,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.97 : 4,814.94 = 1,018.87 : x
  2. Step 2: Convert to fraction form
    3,209.97/4,814.94 = 1,018.87/x
  3. Step 3: Cross multiply
    3,209.97x = 4,814.94 × 1,018.87
  4. Step 4: Simplify right side
    3,209.97x = 4,905,800.46
  5. Step 5: Solve for x
    x = 4,905,800.46/3,209.97
  6. Step 6: Final answer
    x = 1,528.30

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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.