Home / 1,284.24-1,919.32-938.30

Finding the Fourth Proportional to 1,284.24, 1,919.32 and 938.30

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Solution

The fourth proportional to 1,284.24, 1,919.32 and 938.30 is: 1,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.24 : 1,919.32 = 938.30 : x
  2. Step 2: Convert to fraction form
    1,284.24/1,919.32 = 938.30/x
  3. Step 3: Cross multiply
    1,284.24x = 1,919.32 × 938.30
  4. Step 4: Simplify right side
    1,284.24x = 1,800,897.96
  5. Step 5: Solve for x
    x = 1,800,897.96/1,284.24
  6. Step 6: Final answer
    x = 1,402.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.