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Finding the Fourth Proportional to 2,309.08, 3,463.69 and 749.09

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Solution

The fourth proportional to 2,309.08, 3,463.69 and 749.09 is: 1,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.08 : 3,463.69 = 749.09 : x
  2. Step 2: Convert to fraction form
    2,309.08/3,463.69 = 749.09/x
  3. Step 3: Cross multiply
    2,309.08x = 3,463.69 × 749.09
  4. Step 4: Simplify right side
    2,309.08x = 2,594,625.84
  5. Step 5: Solve for x
    x = 2,594,625.84/2,309.08
  6. Step 6: Final answer
    x = 1,123.66

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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.