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Finding the Fourth Proportional to 2,083.83, 2,869.13 and 1,768.44

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Solution

The fourth proportional to 2,083.83, 2,869.13 and 1,768.44 is: 2,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.83 : 2,869.13 = 1,768.44 : x
  2. Step 2: Convert to fraction form
    2,083.83/2,869.13 = 1,768.44/x
  3. Step 3: Cross multiply
    2,083.83x = 2,869.13 × 1,768.44
  4. Step 4: Simplify right side
    2,083.83x = 5,073,875.42
  5. Step 5: Solve for x
    x = 5,073,875.42/2,083.83
  6. Step 6: Final answer
    x = 2,434.88

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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.