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Finding the Fourth Proportional to 2,873.57, 3,966.26 and 1,695.02

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Solution

The fourth proportional to 2,873.57, 3,966.26 and 1,695.02 is: 2,339.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.57 : 3,966.26 = 1,695.02 : x
  2. Step 2: Convert to fraction form
    2,873.57/3,966.26 = 1,695.02/x
  3. Step 3: Cross multiply
    2,873.57x = 3,966.26 × 1,695.02
  4. Step 4: Simplify right side
    2,873.57x = 6,722,861.72
  5. Step 5: Solve for x
    x = 6,722,861.72/2,873.57
  6. Step 6: Final answer
    x = 2,339.55

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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.