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Finding the Fourth Proportional to 2,232.41, 3,348.61 and 1,655.69

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Solution

The fourth proportional to 2,232.41, 3,348.61 and 1,655.69 is: 2,483.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.41 : 3,348.61 = 1,655.69 : x
  2. Step 2: Convert to fraction form
    2,232.41/3,348.61 = 1,655.69/x
  3. Step 3: Cross multiply
    2,232.41x = 3,348.61 × 1,655.69
  4. Step 4: Simplify right side
    2,232.41x = 5,544,239.21
  5. Step 5: Solve for x
    x = 5,544,239.21/2,232.41
  6. Step 6: Final answer
    x = 2,483.53

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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.