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Finding the Fourth Proportional to 2,347.46, 3,239.47 and 1,285.22

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Solution

The fourth proportional to 2,347.46, 3,239.47 and 1,285.22 is: 1,773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.46 : 3,239.47 = 1,285.22 : x
  2. Step 2: Convert to fraction form
    2,347.46/3,239.47 = 1,285.22/x
  3. Step 3: Cross multiply
    2,347.46x = 3,239.47 × 1,285.22
  4. Step 4: Simplify right side
    2,347.46x = 4,163,415.44
  5. Step 5: Solve for x
    x = 4,163,415.44/2,347.46
  6. Step 6: Final answer
    x = 1,773.58

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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.