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Finding the Fourth Proportional to 2,483.93, 3,726.71 and 1,097.61

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Solution

The fourth proportional to 2,483.93, 3,726.71 and 1,097.61 is: 1,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.93 : 3,726.71 = 1,097.61 : x
  2. Step 2: Convert to fraction form
    2,483.93/3,726.71 = 1,097.61/x
  3. Step 3: Cross multiply
    2,483.93x = 3,726.71 × 1,097.61
  4. Step 4: Simplify right side
    2,483.93x = 4,090,468.68
  5. Step 5: Solve for x
    x = 4,090,468.68/2,483.93
  6. Step 6: Final answer
    x = 1,646.78

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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.