Home / 2,098.06-2,895.21-1,166.50

Finding the Fourth Proportional to 2,098.06, 2,895.21 and 1,166.50

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Solution

The fourth proportional to 2,098.06, 2,895.21 and 1,166.50 is: 1,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.06 : 2,895.21 = 1,166.50 : x
  2. Step 2: Convert to fraction form
    2,098.06/2,895.21 = 1,166.50/x
  3. Step 3: Cross multiply
    2,098.06x = 2,895.21 × 1,166.50
  4. Step 4: Simplify right side
    2,098.06x = 3,377,262.47
  5. Step 5: Solve for x
    x = 3,377,262.47/2,098.06
  6. Step 6: Final answer
    x = 1,609.71

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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.