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Finding the Fourth Proportional to 3,111.34, 4,293.80 and 1,714.09

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Solution

The fourth proportional to 3,111.34, 4,293.80 and 1,714.09 is: 2,365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.34 : 4,293.80 = 1,714.09 : x
  2. Step 2: Convert to fraction form
    3,111.34/4,293.80 = 1,714.09/x
  3. Step 3: Cross multiply
    3,111.34x = 4,293.80 × 1,714.09
  4. Step 4: Simplify right side
    3,111.34x = 7,359,942.46
  5. Step 5: Solve for x
    x = 7,359,942.46/3,111.34
  6. Step 6: Final answer
    x = 2,365.53

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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.