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Finding the Fourth Proportional to 2,989.71, 4,476.06 and 1,950.89

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Solution

The fourth proportional to 2,989.71, 4,476.06 and 1,950.89 is: 2,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.71 : 4,476.06 = 1,950.89 : x
  2. Step 2: Convert to fraction form
    2,989.71/4,476.06 = 1,950.89/x
  3. Step 3: Cross multiply
    2,989.71x = 4,476.06 × 1,950.89
  4. Step 4: Simplify right side
    2,989.71x = 8,732,278.31
  5. Step 5: Solve for x
    x = 8,732,278.31/2,989.71
  6. Step 6: Final answer
    x = 2,920.78

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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.