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Finding the Fourth Proportional to 1,792.64, 2,467.10 and 1,516.50

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Solution

The fourth proportional to 1,792.64, 2,467.10 and 1,516.50 is: 2,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.64 : 2,467.10 = 1,516.50 : x
  2. Step 2: Convert to fraction form
    1,792.64/2,467.10 = 1,516.50/x
  3. Step 3: Cross multiply
    1,792.64x = 2,467.10 × 1,516.50
  4. Step 4: Simplify right side
    1,792.64x = 3,741,349.57
  5. Step 5: Solve for x
    x = 3,741,349.57/1,792.64
  6. Step 6: Final answer
    x = 2,087.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.