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Finding the Fourth Proportional to 2,080.95, 2,867.95 and 1,725.00

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Solution

The fourth proportional to 2,080.95, 2,867.95 and 1,725.00 is: 2,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.95 : 2,867.95 = 1,725.00 : x
  2. Step 2: Convert to fraction form
    2,080.95/2,867.95 = 1,725.00/x
  3. Step 3: Cross multiply
    2,080.95x = 2,867.95 × 1,725.00
  4. Step 4: Simplify right side
    2,080.95x = 4,947,199.41
  5. Step 5: Solve for x
    x = 4,947,199.41/2,080.95
  6. Step 6: Final answer
    x = 2,377.38

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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.