Home / 1,619.29-2,428.86-523.63

Finding the Fourth Proportional to 1,619.29, 2,428.86 and 523.63

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Solution

The fourth proportional to 1,619.29, 2,428.86 and 523.63 is: 785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.29 : 2,428.86 = 523.63 : x
  2. Step 2: Convert to fraction form
    1,619.29/2,428.86 = 523.63/x
  3. Step 3: Cross multiply
    1,619.29x = 2,428.86 × 523.63
  4. Step 4: Simplify right side
    1,619.29x = 1,271,823.96
  5. Step 5: Solve for x
    x = 1,271,823.96/1,619.29
  6. Step 6: Final answer
    x = 785.42

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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.