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Finding the Fourth Proportional to 2,715.76, 3,748.12 and 1,536.82

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Solution

The fourth proportional to 2,715.76, 3,748.12 and 1,536.82 is: 2,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.76 : 3,748.12 = 1,536.82 : x
  2. Step 2: Convert to fraction form
    2,715.76/3,748.12 = 1,536.82/x
  3. Step 3: Cross multiply
    2,715.76x = 3,748.12 × 1,536.82
  4. Step 4: Simplify right side
    2,715.76x = 5,760,185.78
  5. Step 5: Solve for x
    x = 5,760,185.78/2,715.76
  6. Step 6: Final answer
    x = 2,121.02

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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.