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Finding the Fourth Proportional to 2,536.25, 3,502.17 and 2,118.83

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Solution

The fourth proportional to 2,536.25, 3,502.17 and 2,118.83 is: 2,925.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.25 : 3,502.17 = 2,118.83 : x
  2. Step 2: Convert to fraction form
    2,536.25/3,502.17 = 2,118.83/x
  3. Step 3: Cross multiply
    2,536.25x = 3,502.17 × 2,118.83
  4. Step 4: Simplify right side
    2,536.25x = 7,420,485.35
  5. Step 5: Solve for x
    x = 7,420,485.35/2,536.25
  6. Step 6: Final answer
    x = 2,925.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.