Home / 1,523.55-2,285.24-938.66

Finding the Fourth Proportional to 1,523.55, 2,285.24 and 938.66

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Solution

The fourth proportional to 1,523.55, 2,285.24 and 938.66 is: 1,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.55 : 2,285.24 = 938.66 : x
  2. Step 2: Convert to fraction form
    1,523.55/2,285.24 = 938.66/x
  3. Step 3: Cross multiply
    1,523.55x = 2,285.24 × 938.66
  4. Step 4: Simplify right side
    1,523.55x = 2,145,055.83
  5. Step 5: Solve for x
    x = 2,145,055.83/1,523.55
  6. Step 6: Final answer
    x = 1,407.94

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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.