Home / 2,098.77-2,896.42-1,214.86

Finding the Fourth Proportional to 2,098.77, 2,896.42 and 1,214.86

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Solution

The fourth proportional to 2,098.77, 2,896.42 and 1,214.86 is: 1,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.77 : 2,896.42 = 1,214.86 : x
  2. Step 2: Convert to fraction form
    2,098.77/2,896.42 = 1,214.86/x
  3. Step 3: Cross multiply
    2,098.77x = 2,896.42 × 1,214.86
  4. Step 4: Simplify right side
    2,098.77x = 3,518,747.84
  5. Step 5: Solve for x
    x = 3,518,747.84/2,098.77
  6. Step 6: Final answer
    x = 1,676.57

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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.