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Finding the Fourth Proportional to 3,203.66, 4,773.65 and 2,854.31

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Solution

The fourth proportional to 3,203.66, 4,773.65 and 2,854.31 is: 4,253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.66 : 4,773.65 = 2,854.31 : x
  2. Step 2: Convert to fraction form
    3,203.66/4,773.65 = 2,854.31/x
  3. Step 3: Cross multiply
    3,203.66x = 4,773.65 × 2,854.31
  4. Step 4: Simplify right side
    3,203.66x = 13,625,474.59
  5. Step 5: Solve for x
    x = 13,625,474.59/3,203.66
  6. Step 6: Final answer
    x = 4,253.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.