Home / 2,098-2,895.28-1,166.48

Finding the Fourth Proportional to 2,098, 2,895.28 and 1,166.48

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Solution

The fourth proportional to 2,098, 2,895.28 and 1,166.48 is: 1,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098 : 2,895.28 = 1,166.48 : x
  2. Step 2: Convert to fraction form
    2,098/2,895.28 = 1,166.48/x
  3. Step 3: Cross multiply
    2,098x = 2,895.28 × 1,166.48
  4. Step 4: Simplify right side
    2,098x = 3,377,286.21
  5. Step 5: Solve for x
    x = 3,377,286.21/2,098
  6. Step 6: Final answer
    x = 1,609.76

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1.5x scale

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.