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Finding the Fourth Proportional to 2,640.96, 3,642.72 and 1,536.96

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Solution

The fourth proportional to 2,640.96, 3,642.72 and 1,536.96 is: 2,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.96 : 3,642.72 = 1,536.96 : x
  2. Step 2: Convert to fraction form
    2,640.96/3,642.72 = 1,536.96/x
  3. Step 3: Cross multiply
    2,640.96x = 3,642.72 × 1,536.96
  4. Step 4: Simplify right side
    2,640.96x = 5,598,714.93
  5. Step 5: Solve for x
    x = 5,598,714.93/2,640.96
  6. Step 6: Final answer
    x = 2,119.95

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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.