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Finding the Fourth Proportional to 3,275.87, 4,913.75 and 810.69

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Solution

The fourth proportional to 3,275.87, 4,913.75 and 810.69 is: 1,216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.87 : 4,913.75 = 810.69 : x
  2. Step 2: Convert to fraction form
    3,275.87/4,913.75 = 810.69/x
  3. Step 3: Cross multiply
    3,275.87x = 4,913.75 × 810.69
  4. Step 4: Simplify right side
    3,275.87x = 3,983,520.85
  5. Step 5: Solve for x
    x = 3,983,520.85/3,275.87
  6. Step 6: Final answer
    x = 1,216.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.