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Finding the Fourth Proportional to 2,309.63, 3,464.41 and 578.25

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Solution

The fourth proportional to 2,309.63, 3,464.41 and 578.25 is: 867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.63 : 3,464.41 = 578.25 : x
  2. Step 2: Convert to fraction form
    2,309.63/3,464.41 = 578.25/x
  3. Step 3: Cross multiply
    2,309.63x = 3,464.41 × 578.25
  4. Step 4: Simplify right side
    2,309.63x = 2,003,295.08
  5. Step 5: Solve for x
    x = 2,003,295.08/2,309.63
  6. Step 6: Final answer
    x = 867.37

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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.