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Finding the Fourth Proportional to 2,309.84, 3,464.73 and 578.46

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Solution

The fourth proportional to 2,309.84, 3,464.73 and 578.46 is: 867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.84 : 3,464.73 = 578.46 : x
  2. Step 2: Convert to fraction form
    2,309.84/3,464.73 = 578.46/x
  3. Step 3: Cross multiply
    2,309.84x = 3,464.73 × 578.46
  4. Step 4: Simplify right side
    2,309.84x = 2,004,207.72
  5. Step 5: Solve for x
    x = 2,004,207.72/2,309.84
  6. Step 6: Final answer
    x = 867.68

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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.