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Finding the Fourth Proportional to 1,881.21, 2,821.59 and 494.65

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Solution

The fourth proportional to 1,881.21, 2,821.59 and 494.65 is: 741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.21 : 2,821.59 = 494.65 : x
  2. Step 2: Convert to fraction form
    1,881.21/2,821.59 = 494.65/x
  3. Step 3: Cross multiply
    1,881.21x = 2,821.59 × 494.65
  4. Step 4: Simplify right side
    1,881.21x = 1,395,709.59
  5. Step 5: Solve for x
    x = 1,395,709.59/1,881.21
  6. Step 6: Final answer
    x = 741.92

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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.