Home / 1,544.28-2,317.35-814.38

Finding the Fourth Proportional to 1,544.28, 2,317.35 and 814.38

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Solution

The fourth proportional to 1,544.28, 2,317.35 and 814.38 is: 1,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.28 : 2,317.35 = 814.38 : x
  2. Step 2: Convert to fraction form
    1,544.28/2,317.35 = 814.38/x
  3. Step 3: Cross multiply
    1,544.28x = 2,317.35 × 814.38
  4. Step 4: Simplify right side
    1,544.28x = 1,887,203.49
  5. Step 5: Solve for x
    x = 1,887,203.49/1,544.28
  6. Step 6: Final answer
    x = 1,222.06

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