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Finding the Fourth Proportional to 1,494.66, 2,241.99 and 521.46

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Solution

The fourth proportional to 1,494.66, 2,241.99 and 521.46 is: 782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.66 : 2,241.99 = 521.46 : x
  2. Step 2: Convert to fraction form
    1,494.66/2,241.99 = 521.46/x
  3. Step 3: Cross multiply
    1,494.66x = 2,241.99 × 521.46
  4. Step 4: Simplify right side
    1,494.66x = 1,169,108.11
  5. Step 5: Solve for x
    x = 1,169,108.11/1,494.66
  6. Step 6: Final answer
    x = 782.19

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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.