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Finding the Fourth Proportional to 2,994.61, 4,489.96 and 1,434.56

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Solution

The fourth proportional to 2,994.61, 4,489.96 and 1,434.56 is: 2,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.61 : 4,489.96 = 1,434.56 : x
  2. Step 2: Convert to fraction form
    2,994.61/4,489.96 = 1,434.56/x
  3. Step 3: Cross multiply
    2,994.61x = 4,489.96 × 1,434.56
  4. Step 4: Simplify right side
    2,994.61x = 6,441,124.66
  5. Step 5: Solve for x
    x = 6,441,124.66/2,994.61
  6. Step 6: Final answer
    x = 2,150.91

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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.