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Finding the Fourth Proportional to 2,098.13, 2,895.84 and 1,214.22

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Solution

The fourth proportional to 2,098.13, 2,895.84 and 1,214.22 is: 1,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.13 : 2,895.84 = 1,214.22 : x
  2. Step 2: Convert to fraction form
    2,098.13/2,895.84 = 1,214.22/x
  3. Step 3: Cross multiply
    2,098.13x = 2,895.84 × 1,214.22
  4. Step 4: Simplify right side
    2,098.13x = 3,516,186.84
  5. Step 5: Solve for x
    x = 3,516,186.84/2,098.13
  6. Step 6: Final answer
    x = 1,675.87

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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.