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Finding the Fourth Proportional to 1,350.84, 2,018 and 1,077.44

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Solution

The fourth proportional to 1,350.84, 2,018 and 1,077.44 is: 1,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.84 : 2,018 = 1,077.44 : x
  2. Step 2: Convert to fraction form
    1,350.84/2,018 = 1,077.44/x
  3. Step 3: Cross multiply
    1,350.84x = 2,018 × 1,077.44
  4. Step 4: Simplify right side
    1,350.84x = 2,174,273.92
  5. Step 5: Solve for x
    x = 2,174,273.92/1,350.84
  6. Step 6: Final answer
    x = 1,609.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.