Home / 1,523.24-2,284.76-938.35

Finding the Fourth Proportional to 1,523.24, 2,284.76 and 938.35

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Solution

The fourth proportional to 1,523.24, 2,284.76 and 938.35 is: 1,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.24 : 2,284.76 = 938.35 : x
  2. Step 2: Convert to fraction form
    1,523.24/2,284.76 = 938.35/x
  3. Step 3: Cross multiply
    1,523.24x = 2,284.76 × 938.35
  4. Step 4: Simplify right side
    1,523.24x = 2,143,904.55
  5. Step 5: Solve for x
    x = 2,143,904.55/1,523.24
  6. Step 6: Final answer
    x = 1,407.46

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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.