Home / 1,486.17-2,050.93-823.04

Finding the Fourth Proportional to 1,486.17, 2,050.93 and 823.04

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Solution

The fourth proportional to 1,486.17, 2,050.93 and 823.04 is: 1,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.17 : 2,050.93 = 823.04 : x
  2. Step 2: Convert to fraction form
    1,486.17/2,050.93 = 823.04/x
  3. Step 3: Cross multiply
    1,486.17x = 2,050.93 × 823.04
  4. Step 4: Simplify right side
    1,486.17x = 1,687,997.43
  5. Step 5: Solve for x
    x = 1,687,997.43/1,486.17
  6. Step 6: Final answer
    x = 1,135.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.