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Finding the Fourth Proportional to 2,347.33, 3,239.22 and 1,403.64

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Solution

The fourth proportional to 2,347.33, 3,239.22 and 1,403.64 is: 1,936.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.33 : 3,239.22 = 1,403.64 : x
  2. Step 2: Convert to fraction form
    2,347.33/3,239.22 = 1,403.64/x
  3. Step 3: Cross multiply
    2,347.33x = 3,239.22 × 1,403.64
  4. Step 4: Simplify right side
    2,347.33x = 4,546,698.76
  5. Step 5: Solve for x
    x = 4,546,698.76/2,347.33
  6. Step 6: Final answer
    x = 1,936.97

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