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Finding the Fourth Proportional to 2,235.47, 3,350.63 and 1,641.65

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Solution

The fourth proportional to 2,235.47, 3,350.63 and 1,641.65 is: 2,460.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.47 : 3,350.63 = 1,641.65 : x
  2. Step 2: Convert to fraction form
    2,235.47/3,350.63 = 1,641.65/x
  3. Step 3: Cross multiply
    2,235.47x = 3,350.63 × 1,641.65
  4. Step 4: Simplify right side
    2,235.47x = 5,500,553.53
  5. Step 5: Solve for x
    x = 5,500,553.53/2,235.47
  6. Step 6: Final answer
    x = 2,460.58

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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.