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Finding the Fourth Proportional to 2,144.00, 2,958.80 and 1,259.64

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Solution

The fourth proportional to 2,144.00, 2,958.80 and 1,259.64 is: 1,738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.00 : 2,958.80 = 1,259.64 : x
  2. Step 2: Convert to fraction form
    2,144.00/2,958.80 = 1,259.64/x
  3. Step 3: Cross multiply
    2,144.00x = 2,958.80 × 1,259.64
  4. Step 4: Simplify right side
    2,144.00x = 3,727,016.53
  5. Step 5: Solve for x
    x = 3,727,016.53/2,144.00
  6. Step 6: Final answer
    x = 1,738.35

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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.