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Finding the Fourth Proportional to 3,282.98, 4,530.45 and 1,790.90

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Solution

The fourth proportional to 3,282.98, 4,530.45 and 1,790.90 is: 2,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.98 : 4,530.45 = 1,790.90 : x
  2. Step 2: Convert to fraction form
    3,282.98/4,530.45 = 1,790.90/x
  3. Step 3: Cross multiply
    3,282.98x = 4,530.45 × 1,790.90
  4. Step 4: Simplify right side
    3,282.98x = 8,113,560.25
  5. Step 5: Solve for x
    x = 8,113,560.25/3,282.98
  6. Step 6: Final answer
    x = 2,471.40

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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.