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Finding the Fourth Proportional to 2,844.53, 3,925.34 and 2,098.22

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Solution

The fourth proportional to 2,844.53, 3,925.34 and 2,098.22 is: 2,895.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.53 : 3,925.34 = 2,098.22 : x
  2. Step 2: Convert to fraction form
    2,844.53/3,925.34 = 2,098.22/x
  3. Step 3: Cross multiply
    2,844.53x = 3,925.34 × 2,098.22
  4. Step 4: Simplify right side
    2,844.53x = 8,236,226.22
  5. Step 5: Solve for x
    x = 8,236,226.22/2,844.53
  6. Step 6: Final answer
    x = 2,895.46

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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.