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Finding the Fourth Proportional to 2,347.44, 3,239.82 and 1,787

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Solution

The fourth proportional to 2,347.44, 3,239.82 and 1,787 is: 2,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.44 : 3,239.82 = 1,787 : x
  2. Step 2: Convert to fraction form
    2,347.44/3,239.82 = 1,787/x
  3. Step 3: Cross multiply
    2,347.44x = 3,239.82 × 1,787
  4. Step 4: Simplify right side
    2,347.44x = 5,789,558.34
  5. Step 5: Solve for x
    x = 5,789,558.34/2,347.44
  6. Step 6: Final answer
    x = 2,466.33

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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.