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Finding the Fourth Proportional to 1,849.87, 2,774.81 and 753.94

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Solution

The fourth proportional to 1,849.87, 2,774.81 and 753.94 is: 1,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.87 : 2,774.81 = 753.94 : x
  2. Step 2: Convert to fraction form
    1,849.87/2,774.81 = 753.94/x
  3. Step 3: Cross multiply
    1,849.87x = 2,774.81 × 753.94
  4. Step 4: Simplify right side
    1,849.87x = 2,092,040.25
  5. Step 5: Solve for x
    x = 2,092,040.25/1,849.87
  6. Step 6: Final answer
    x = 1,130.91

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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.