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Finding the Fourth Proportional to 2,967.91, 4,095.77 and 1,641.53

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Solution

The fourth proportional to 2,967.91, 4,095.77 and 1,641.53 is: 2,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.91 : 4,095.77 = 1,641.53 : x
  2. Step 2: Convert to fraction form
    2,967.91/4,095.77 = 1,641.53/x
  3. Step 3: Cross multiply
    2,967.91x = 4,095.77 × 1,641.53
  4. Step 4: Simplify right side
    2,967.91x = 6,723,331.36
  5. Step 5: Solve for x
    x = 6,723,331.36/2,967.91
  6. Step 6: Final answer
    x = 2,265.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.