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Finding the Fourth Proportional to 3,209.71, 4,814.58 and 1,018.66

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Solution

The fourth proportional to 3,209.71, 4,814.58 and 1,018.66 is: 1,527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.71 : 4,814.58 = 1,018.66 : x
  2. Step 2: Convert to fraction form
    3,209.71/4,814.58 = 1,018.66/x
  3. Step 3: Cross multiply
    3,209.71x = 4,814.58 × 1,018.66
  4. Step 4: Simplify right side
    3,209.71x = 4,904,420.06
  5. Step 5: Solve for x
    x = 4,904,420.06/3,209.71
  6. Step 6: Final answer
    x = 1,527.99

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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.