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Finding the Fourth Proportional to 1,767.99, 2,652.43 and 1,249.01

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Solution

The fourth proportional to 1,767.99, 2,652.43 and 1,249.01 is: 1,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.99 : 2,652.43 = 1,249.01 : x
  2. Step 2: Convert to fraction form
    1,767.99/2,652.43 = 1,249.01/x
  3. Step 3: Cross multiply
    1,767.99x = 2,652.43 × 1,249.01
  4. Step 4: Simplify right side
    1,767.99x = 3,312,911.59
  5. Step 5: Solve for x
    x = 3,312,911.59/1,767.99
  6. Step 6: Final answer
    x = 1,873.83

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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.