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Finding the Fourth Proportional to 1,482.10, 2,223.37 and 494.61

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Solution

The fourth proportional to 1,482.10, 2,223.37 and 494.61 is: 741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.10 : 2,223.37 = 494.61 : x
  2. Step 2: Convert to fraction form
    1,482.10/2,223.37 = 494.61/x
  3. Step 3: Cross multiply
    1,482.10x = 2,223.37 × 494.61
  4. Step 4: Simplify right side
    1,482.10x = 1,099,694.71
  5. Step 5: Solve for x
    x = 1,099,694.71/1,482.10
  6. Step 6: Final answer
    x = 741.99

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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.