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Finding the Fourth Proportional to 2,098.05, 2,895.83 and 1,214.38

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Solution

The fourth proportional to 2,098.05, 2,895.83 and 1,214.38 is: 1,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.05 : 2,895.83 = 1,214.38 : x
  2. Step 2: Convert to fraction form
    2,098.05/2,895.83 = 1,214.38/x
  3. Step 3: Cross multiply
    2,098.05x = 2,895.83 × 1,214.38
  4. Step 4: Simplify right side
    2,098.05x = 3,516,638.04
  5. Step 5: Solve for x
    x = 3,516,638.04/2,098.05
  6. Step 6: Final answer
    x = 1,676.15

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Why These Related Problems?

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