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Finding the Fourth Proportional to 1,839.87, 2,758.89 and 607.14

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Solution

The fourth proportional to 1,839.87, 2,758.89 and 607.14 is: 910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.87 : 2,758.89 = 607.14 : x
  2. Step 2: Convert to fraction form
    1,839.87/2,758.89 = 607.14/x
  3. Step 3: Cross multiply
    1,839.87x = 2,758.89 × 607.14
  4. Step 4: Simplify right side
    1,839.87x = 1,675,032.47
  5. Step 5: Solve for x
    x = 1,675,032.47/1,839.87
  6. Step 6: Final answer
    x = 910.41

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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.