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Finding the Fourth Proportional to 1,486.26, 2,227.14 and 561.42

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Solution

The fourth proportional to 1,486.26, 2,227.14 and 561.42 is: 841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.26 : 2,227.14 = 561.42 : x
  2. Step 2: Convert to fraction form
    1,486.26/2,227.14 = 561.42/x
  3. Step 3: Cross multiply
    1,486.26x = 2,227.14 × 561.42
  4. Step 4: Simplify right side
    1,486.26x = 1,250,360.94
  5. Step 5: Solve for x
    x = 1,250,360.94/1,486.26
  6. Step 6: Final answer
    x = 841.28

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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.