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Finding the Fourth Proportional to 1,753.37, 2,419.55 and 1,006.80

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Solution

The fourth proportional to 1,753.37, 2,419.55 and 1,006.80 is: 1,389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.37 : 2,419.55 = 1,006.80 : x
  2. Step 2: Convert to fraction form
    1,753.37/2,419.55 = 1,006.80/x
  3. Step 3: Cross multiply
    1,753.37x = 2,419.55 × 1,006.80
  4. Step 4: Simplify right side
    1,753.37x = 2,435,997.91
  5. Step 5: Solve for x
    x = 2,435,997.91/1,753.37
  6. Step 6: Final answer
    x = 1,389.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.