Home / 2,098-2,895.24-1,166.50

Finding the Fourth Proportional to 2,098, 2,895.24 and 1,166.50

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Solution

The fourth proportional to 2,098, 2,895.24 and 1,166.50 is: 1,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098 : 2,895.24 = 1,166.50 : x
  2. Step 2: Convert to fraction form
    2,098/2,895.24 = 1,166.50/x
  3. Step 3: Cross multiply
    2,098x = 2,895.24 × 1,166.50
  4. Step 4: Simplify right side
    2,098x = 3,377,297.46
  5. Step 5: Solve for x
    x = 3,377,297.46/2,098
  6. Step 6: Final answer
    x = 1,609.77

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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.