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Finding the Fourth Proportional to 2,116.92, 2,922.30 and 1,593.12

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Solution

The fourth proportional to 2,116.92, 2,922.30 and 1,593.12 is: 2,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.92 : 2,922.30 = 1,593.12 : x
  2. Step 2: Convert to fraction form
    2,116.92/2,922.30 = 1,593.12/x
  3. Step 3: Cross multiply
    2,116.92x = 2,922.30 × 1,593.12
  4. Step 4: Simplify right side
    2,116.92x = 4,655,574.58
  5. Step 5: Solve for x
    x = 4,655,574.58/2,116.92
  6. Step 6: Final answer
    x = 2,199.22

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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.