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Finding the Fourth Proportional to 2,773.15, 3,827.39 and 2,029.16

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Solution

The fourth proportional to 2,773.15, 3,827.39 and 2,029.16 is: 2,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.15 : 3,827.39 = 2,029.16 : x
  2. Step 2: Convert to fraction form
    2,773.15/3,827.39 = 2,029.16/x
  3. Step 3: Cross multiply
    2,773.15x = 3,827.39 × 2,029.16
  4. Step 4: Simplify right side
    2,773.15x = 7,766,386.12
  5. Step 5: Solve for x
    x = 7,766,386.12/2,773.15
  6. Step 6: Final answer
    x = 2,800.57

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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.