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Finding the Fourth Proportional to 2,052.88, 2,832.87 and 1,266.77

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Solution

The fourth proportional to 2,052.88, 2,832.87 and 1,266.77 is: 1,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.88 : 2,832.87 = 1,266.77 : x
  2. Step 2: Convert to fraction form
    2,052.88/2,832.87 = 1,266.77/x
  3. Step 3: Cross multiply
    2,052.88x = 2,832.87 × 1,266.77
  4. Step 4: Simplify right side
    2,052.88x = 3,588,606.56
  5. Step 5: Solve for x
    x = 3,588,606.56/2,052.88
  6. Step 6: Final answer
    x = 1,748.09

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1.5x scale

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.