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Finding the Fourth Proportional to 1,493.81, 2,240.84 and 453.91

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Solution

The fourth proportional to 1,493.81, 2,240.84 and 453.91 is: 680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.81 : 2,240.84 = 453.91 : x
  2. Step 2: Convert to fraction form
    1,493.81/2,240.84 = 453.91/x
  3. Step 3: Cross multiply
    1,493.81x = 2,240.84 × 453.91
  4. Step 4: Simplify right side
    1,493.81x = 1,017,132.63
  5. Step 5: Solve for x
    x = 1,017,132.63/1,493.81
  6. Step 6: Final answer
    x = 680.90

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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.