Home / 1,228.06-1,842.55-997.52

Finding the Fourth Proportional to 1,228.06, 1,842.55 and 997.52

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Solution

The fourth proportional to 1,228.06, 1,842.55 and 997.52 is: 1,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.06 : 1,842.55 = 997.52 : x
  2. Step 2: Convert to fraction form
    1,228.06/1,842.55 = 997.52/x
  3. Step 3: Cross multiply
    1,228.06x = 1,842.55 × 997.52
  4. Step 4: Simplify right side
    1,228.06x = 1,837,968.77
  5. Step 5: Solve for x
    x = 1,837,968.77/1,228.06
  6. Step 6: Final answer
    x = 1,496.64

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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.