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Finding the Fourth Proportional to 2,164.53, 2,987.04 and 1,169.80

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Solution

The fourth proportional to 2,164.53, 2,987.04 and 1,169.80 is: 1,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.53 : 2,987.04 = 1,169.80 : x
  2. Step 2: Convert to fraction form
    2,164.53/2,987.04 = 1,169.80/x
  3. Step 3: Cross multiply
    2,164.53x = 2,987.04 × 1,169.80
  4. Step 4: Simplify right side
    2,164.53x = 3,494,243.94
  5. Step 5: Solve for x
    x = 3,494,243.94/2,164.53
  6. Step 6: Final answer
    x = 1,614.32

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1.5x scale

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.