Home / 1,648.03-2,470.40-823.79

Finding the Fourth Proportional to 1,648.03, 2,470.40 and 823.79

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Solution

The fourth proportional to 1,648.03, 2,470.40 and 823.79 is: 1,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.03 : 2,470.40 = 823.79 : x
  2. Step 2: Convert to fraction form
    1,648.03/2,470.40 = 823.79/x
  3. Step 3: Cross multiply
    1,648.03x = 2,470.40 × 823.79
  4. Step 4: Simplify right side
    1,648.03x = 2,035,074.35
  5. Step 5: Solve for x
    x = 2,035,074.35/1,648.03
  6. Step 6: Final answer
    x = 1,234.86

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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.