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Finding the Fourth Proportional to 2,513.76, 3,767.84 and 1,051.92

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Solution

The fourth proportional to 2,513.76, 3,767.84 and 1,051.92 is: 1,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.76 : 3,767.84 = 1,051.92 : x
  2. Step 2: Convert to fraction form
    2,513.76/3,767.84 = 1,051.92/x
  3. Step 3: Cross multiply
    2,513.76x = 3,767.84 × 1,051.92
  4. Step 4: Simplify right side
    2,513.76x = 3,963,466.25
  5. Step 5: Solve for x
    x = 3,963,466.25/2,513.76
  6. Step 6: Final answer
    x = 1,576.71

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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.