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Finding the Fourth Proportional to 2,576.36, 3,864.54 and 1,037

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Solution

The fourth proportional to 2,576.36, 3,864.54 and 1,037 is: 1,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.36 : 3,864.54 = 1,037 : x
  2. Step 2: Convert to fraction form
    2,576.36/3,864.54 = 1,037/x
  3. Step 3: Cross multiply
    2,576.36x = 3,864.54 × 1,037
  4. Step 4: Simplify right side
    2,576.36x = 4,007,527.98
  5. Step 5: Solve for x
    x = 4,007,527.98/2,576.36
  6. Step 6: Final answer
    x = 1,555.50

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Why These Related Problems?

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