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Finding the Fourth Proportional to 2,347.43, 3,239.66 and 1,756.94

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Solution

The fourth proportional to 2,347.43, 3,239.66 and 1,756.94 is: 2,424.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.43 : 3,239.66 = 1,756.94 : x
  2. Step 2: Convert to fraction form
    2,347.43/3,239.66 = 1,756.94/x
  3. Step 3: Cross multiply
    2,347.43x = 3,239.66 × 1,756.94
  4. Step 4: Simplify right side
    2,347.43x = 5,691,879.46
  5. Step 5: Solve for x
    x = 5,691,879.46/2,347.43
  6. Step 6: Final answer
    x = 2,424.73

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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.