Home / 1,487.06-2,052.14-823.90

Finding the Fourth Proportional to 1,487.06, 2,052.14 and 823.90

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Solution

The fourth proportional to 1,487.06, 2,052.14 and 823.90 is: 1,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.06 : 2,052.14 = 823.90 : x
  2. Step 2: Convert to fraction form
    1,487.06/2,052.14 = 823.90/x
  3. Step 3: Cross multiply
    1,487.06x = 2,052.14 × 823.90
  4. Step 4: Simplify right side
    1,487.06x = 1,690,755.08
  5. Step 5: Solve for x
    x = 1,690,755.08/1,487.06
  6. Step 6: Final answer
    x = 1,136.98

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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.