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Finding the Fourth Proportional to 2,140.00, 2,952.02 and 1,255.64

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Solution

The fourth proportional to 2,140.00, 2,952.02 and 1,255.64 is: 1,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.00 : 2,952.02 = 1,255.64 : x
  2. Step 2: Convert to fraction form
    2,140.00/2,952.02 = 1,255.64/x
  3. Step 3: Cross multiply
    2,140.00x = 2,952.02 × 1,255.64
  4. Step 4: Simplify right side
    2,140.00x = 3,706,659.24
  5. Step 5: Solve for x
    x = 3,706,659.24/2,140.00
  6. Step 6: Final answer
    x = 1,732.08

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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.