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Finding the Fourth Proportional to 2,164.64, 2,987.16 and 1,220.43

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Solution

The fourth proportional to 2,164.64, 2,987.16 and 1,220.43 is: 1,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.64 : 2,987.16 = 1,220.43 : x
  2. Step 2: Convert to fraction form
    2,164.64/2,987.16 = 1,220.43/x
  3. Step 3: Cross multiply
    2,164.64x = 2,987.16 × 1,220.43
  4. Step 4: Simplify right side
    2,164.64x = 3,645,615.10
  5. Step 5: Solve for x
    x = 3,645,615.10/2,164.64
  6. Step 6: Final answer
    x = 1,684.17

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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.