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Finding the Fourth Proportional to 2,695.35, 3,723.62 and 2,134.02

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Solution

The fourth proportional to 2,695.35, 3,723.62 and 2,134.02 is: 2,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.35 : 3,723.62 = 2,134.02 : x
  2. Step 2: Convert to fraction form
    2,695.35/3,723.62 = 2,134.02/x
  3. Step 3: Cross multiply
    2,695.35x = 3,723.62 × 2,134.02
  4. Step 4: Simplify right side
    2,695.35x = 7,946,268.88
  5. Step 5: Solve for x
    x = 7,946,268.88/2,695.35
  6. Step 6: Final answer
    x = 2,948.14

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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.