Home / 1,823.12-2,734.38-524.30

Finding the Fourth Proportional to 1,823.12, 2,734.38 and 524.30

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Solution

The fourth proportional to 1,823.12, 2,734.38 and 524.30 is: 786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.12 : 2,734.38 = 524.30 : x
  2. Step 2: Convert to fraction form
    1,823.12/2,734.38 = 524.30/x
  3. Step 3: Cross multiply
    1,823.12x = 2,734.38 × 524.30
  4. Step 4: Simplify right side
    1,823.12x = 1,433,635.43
  5. Step 5: Solve for x
    x = 1,433,635.43/1,823.12
  6. Step 6: Final answer
    x = 786.36

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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.