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Finding the Fourth Proportional to 1,494.11, 2,240.90 and 569.46

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Solution

The fourth proportional to 1,494.11, 2,240.90 and 569.46 is: 854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.11 : 2,240.90 = 569.46 : x
  2. Step 2: Convert to fraction form
    1,494.11/2,240.90 = 569.46/x
  3. Step 3: Cross multiply
    1,494.11x = 2,240.90 × 569.46
  4. Step 4: Simplify right side
    1,494.11x = 1,276,110.61
  5. Step 5: Solve for x
    x = 1,276,110.61/1,494.11
  6. Step 6: Final answer
    x = 854.09

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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.