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Finding the Fourth Proportional to 2,235.76, 3,350.46 and 1,646.14

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Solution

The fourth proportional to 2,235.76, 3,350.46 and 1,646.14 is: 2,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.76 : 3,350.46 = 1,646.14 : x
  2. Step 2: Convert to fraction form
    2,235.76/3,350.46 = 1,646.14/x
  3. Step 3: Cross multiply
    2,235.76x = 3,350.46 × 1,646.14
  4. Step 4: Simplify right side
    2,235.76x = 5,515,326.22
  5. Step 5: Solve for x
    x = 5,515,326.22/2,235.76
  6. Step 6: Final answer
    x = 2,466.87

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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.