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Finding the Fourth Proportional to 2,309.54, 3,464.30 and 578.16

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Solution

The fourth proportional to 2,309.54, 3,464.30 and 578.16 is: 867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.54 : 3,464.30 = 578.16 : x
  2. Step 2: Convert to fraction form
    2,309.54/3,464.30 = 578.16/x
  3. Step 3: Cross multiply
    2,309.54x = 3,464.30 × 578.16
  4. Step 4: Simplify right side
    2,309.54x = 2,002,919.69
  5. Step 5: Solve for x
    x = 2,002,919.69/2,309.54
  6. Step 6: Final answer
    x = 867.24

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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.