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Finding the Fourth Proportional to 2,164.32, 2,987.01 and 1,280.43

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Solution

The fourth proportional to 2,164.32, 2,987.01 and 1,280.43 is: 1,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.32 : 2,987.01 = 1,280.43 : x
  2. Step 2: Convert to fraction form
    2,164.32/2,987.01 = 1,280.43/x
  3. Step 3: Cross multiply
    2,164.32x = 2,987.01 × 1,280.43
  4. Step 4: Simplify right side
    2,164.32x = 3,824,657.21
  5. Step 5: Solve for x
    x = 3,824,657.21/2,164.32
  6. Step 6: Final answer
    x = 1,767.14

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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.