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Finding the Fourth Proportional to 2,002.59, 2,765.48 and 1,893.51

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Solution

The fourth proportional to 2,002.59, 2,765.48 and 1,893.51 is: 2,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.59 : 2,765.48 = 1,893.51 : x
  2. Step 2: Convert to fraction form
    2,002.59/2,765.48 = 1,893.51/x
  3. Step 3: Cross multiply
    2,002.59x = 2,765.48 × 1,893.51
  4. Step 4: Simplify right side
    2,002.59x = 5,236,464.03
  5. Step 5: Solve for x
    x = 5,236,464.03/2,002.59
  6. Step 6: Final answer
    x = 2,614.85

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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.