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Finding the Fourth Proportional to 2,578.83, 3,860.32 and 1,655.28

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Solution

The fourth proportional to 2,578.83, 3,860.32 and 1,655.28 is: 2,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.83 : 3,860.32 = 1,655.28 : x
  2. Step 2: Convert to fraction form
    2,578.83/3,860.32 = 1,655.28/x
  3. Step 3: Cross multiply
    2,578.83x = 3,860.32 × 1,655.28
  4. Step 4: Simplify right side
    2,578.83x = 6,389,906.35
  5. Step 5: Solve for x
    x = 6,389,906.35/2,578.83
  6. Step 6: Final answer
    x = 2,477.83

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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.