Home / 1,617.42-2,231.06-1,027.46

Finding the Fourth Proportional to 1,617.42, 2,231.06 and 1,027.46

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Solution

The fourth proportional to 1,617.42, 2,231.06 and 1,027.46 is: 1,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.42 : 2,231.06 = 1,027.46 : x
  2. Step 2: Convert to fraction form
    1,617.42/2,231.06 = 1,027.46/x
  3. Step 3: Cross multiply
    1,617.42x = 2,231.06 × 1,027.46
  4. Step 4: Simplify right side
    1,617.42x = 2,292,324.91
  5. Step 5: Solve for x
    x = 2,292,324.91/1,617.42
  6. Step 6: Final answer
    x = 1,417.27

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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.