Home / 1,619.11-2,428.06-523.18

Finding the Fourth Proportional to 1,619.11, 2,428.06 and 523.18

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Solution

The fourth proportional to 1,619.11, 2,428.06 and 523.18 is: 784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.11 : 2,428.06 = 523.18 : x
  2. Step 2: Convert to fraction form
    1,619.11/2,428.06 = 523.18/x
  3. Step 3: Cross multiply
    1,619.11x = 2,428.06 × 523.18
  4. Step 4: Simplify right side
    1,619.11x = 1,270,312.43
  5. Step 5: Solve for x
    x = 1,270,312.43/1,619.11
  6. Step 6: Final answer
    x = 784.57

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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.