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Finding the Fourth Proportional to 2,309.66, 3,464.68 and 749.05

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Solution

The fourth proportional to 2,309.66, 3,464.68 and 749.05 is: 1,123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.66 : 3,464.68 = 749.05 : x
  2. Step 2: Convert to fraction form
    2,309.66/3,464.68 = 749.05/x
  3. Step 3: Cross multiply
    2,309.66x = 3,464.68 × 749.05
  4. Step 4: Simplify right side
    2,309.66x = 2,595,208.02
  5. Step 5: Solve for x
    x = 2,595,208.02/2,309.66
  6. Step 6: Final answer
    x = 1,123.63

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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.