Home / 2,148.24-3,222.36-761.66

Finding the Fourth Proportional to 2,148.24, 3,222.36 and 761.66

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Solution

The fourth proportional to 2,148.24, 3,222.36 and 761.66 is: 1,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.24 : 3,222.36 = 761.66 : x
  2. Step 2: Convert to fraction form
    2,148.24/3,222.36 = 761.66/x
  3. Step 3: Cross multiply
    2,148.24x = 3,222.36 × 761.66
  4. Step 4: Simplify right side
    2,148.24x = 2,454,342.72
  5. Step 5: Solve for x
    x = 2,454,342.72/2,148.24
  6. Step 6: Final answer
    x = 1,142.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.