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Finding the Fourth Proportional to 2,309.91, 3,464.85 and 578.55

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Solution

The fourth proportional to 2,309.91, 3,464.85 and 578.55 is: 867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.91 : 3,464.85 = 578.55 : x
  2. Step 2: Convert to fraction form
    2,309.91/3,464.85 = 578.55/x
  3. Step 3: Cross multiply
    2,309.91x = 3,464.85 × 578.55
  4. Step 4: Simplify right side
    2,309.91x = 2,004,588.97
  5. Step 5: Solve for x
    x = 2,004,588.97/2,309.91
  6. Step 6: Final answer
    x = 867.82

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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.