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Finding the Fourth Proportional to 2,241.32, 3,093.06 and 1,309.64

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Solution

The fourth proportional to 2,241.32, 3,093.06 and 1,309.64 is: 1,807.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.32 : 3,093.06 = 1,309.64 : x
  2. Step 2: Convert to fraction form
    2,241.32/3,093.06 = 1,309.64/x
  3. Step 3: Cross multiply
    2,241.32x = 3,093.06 × 1,309.64
  4. Step 4: Simplify right side
    2,241.32x = 4,050,795.10
  5. Step 5: Solve for x
    x = 4,050,795.10/2,241.32
  6. Step 6: Final answer
    x = 1,807.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.