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Finding the Fourth Proportional to 2,347.26, 3,512.22 and 1,655.62

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Solution

The fourth proportional to 2,347.26, 3,512.22 and 1,655.62 is: 2,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.26 : 3,512.22 = 1,655.62 : x
  2. Step 2: Convert to fraction form
    2,347.26/3,512.22 = 1,655.62/x
  3. Step 3: Cross multiply
    2,347.26x = 3,512.22 × 1,655.62
  4. Step 4: Simplify right side
    2,347.26x = 5,814,901.68
  5. Step 5: Solve for x
    x = 5,814,901.68/2,347.26
  6. Step 6: Final answer
    x = 2,477.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.