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Finding the Fourth Proportional to 2,994.71, 4,491.59 and 803.61

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Solution

The fourth proportional to 2,994.71, 4,491.59 and 803.61 is: 1,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.71 : 4,491.59 = 803.61 : x
  2. Step 2: Convert to fraction form
    2,994.71/4,491.59 = 803.61/x
  3. Step 3: Cross multiply
    2,994.71x = 4,491.59 × 803.61
  4. Step 4: Simplify right side
    2,994.71x = 3,609,482.62
  5. Step 5: Solve for x
    x = 3,609,482.62/2,994.71
  6. Step 6: Final answer
    x = 1,205.29

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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.