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Finding the Fourth Proportional to 2,576.70, 3,861.27 and 1,536.93

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Solution

The fourth proportional to 2,576.70, 3,861.27 and 1,536.93 is: 2,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.70 : 3,861.27 = 1,536.93 : x
  2. Step 2: Convert to fraction form
    2,576.70/3,861.27 = 1,536.93/x
  3. Step 3: Cross multiply
    2,576.70x = 3,861.27 × 1,536.93
  4. Step 4: Simplify right side
    2,576.70x = 5,934,501.70
  5. Step 5: Solve for x
    x = 5,934,501.70/2,576.70
  6. Step 6: Final answer
    x = 2,303.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.