Home / 1,475.10-2,209.82-823.86

Finding the Fourth Proportional to 1,475.10, 2,209.82 and 823.86

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Solution

The fourth proportional to 1,475.10, 2,209.82 and 823.86 is: 1,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.10 : 2,209.82 = 823.86 : x
  2. Step 2: Convert to fraction form
    1,475.10/2,209.82 = 823.86/x
  3. Step 3: Cross multiply
    1,475.10x = 2,209.82 × 823.86
  4. Step 4: Simplify right side
    1,475.10x = 1,820,578.19
  5. Step 5: Solve for x
    x = 1,820,578.19/1,475.10
  6. Step 6: Final answer
    x = 1,234.21

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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.