Home / 2,098.77-2,896.25-1,214.57

Finding the Fourth Proportional to 2,098.77, 2,896.25 and 1,214.57

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Solution

The fourth proportional to 2,098.77, 2,896.25 and 1,214.57 is: 1,676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.77 : 2,896.25 = 1,214.57 : x
  2. Step 2: Convert to fraction form
    2,098.77/2,896.25 = 1,214.57/x
  3. Step 3: Cross multiply
    2,098.77x = 2,896.25 × 1,214.57
  4. Step 4: Simplify right side
    2,098.77x = 3,517,677.81
  5. Step 5: Solve for x
    x = 3,517,677.81/2,098.77
  6. Step 6: Final answer
    x = 1,676.07

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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.