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Finding the Fourth Proportional to 1,842.07, 2,759.01 and 866.14

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Solution

The fourth proportional to 1,842.07, 2,759.01 and 866.14 is: 1,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.07 : 2,759.01 = 866.14 : x
  2. Step 2: Convert to fraction form
    1,842.07/2,759.01 = 866.14/x
  3. Step 3: Cross multiply
    1,842.07x = 2,759.01 × 866.14
  4. Step 4: Simplify right side
    1,842.07x = 2,389,688.92
  5. Step 5: Solve for x
    x = 2,389,688.92/1,842.07
  6. Step 6: Final answer
    x = 1,297.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.