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Finding the Fourth Proportional to 1,998.16, 2,756.10 and 1,832.92

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Solution

The fourth proportional to 1,998.16, 2,756.10 and 1,832.92 is: 2,528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.16 : 2,756.10 = 1,832.92 : x
  2. Step 2: Convert to fraction form
    1,998.16/2,756.10 = 1,832.92/x
  3. Step 3: Cross multiply
    1,998.16x = 2,756.10 × 1,832.92
  4. Step 4: Simplify right side
    1,998.16x = 5,051,710.81
  5. Step 5: Solve for x
    x = 5,051,710.81/1,998.16
  6. Step 6: Final answer
    x = 2,528.18

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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.