Home / 1,228.20-1,829.88-1,166.24

Finding the Fourth Proportional to 1,228.20, 1,829.88 and 1,166.24

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Solution

The fourth proportional to 1,228.20, 1,829.88 and 1,166.24 is: 1,737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.20 : 1,829.88 = 1,166.24 : x
  2. Step 2: Convert to fraction form
    1,228.20/1,829.88 = 1,166.24/x
  3. Step 3: Cross multiply
    1,228.20x = 1,829.88 × 1,166.24
  4. Step 4: Simplify right side
    1,228.20x = 2,134,064.27
  5. Step 5: Solve for x
    x = 2,134,064.27/1,228.20
  6. Step 6: Final answer
    x = 1,737.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.