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Finding the Fourth Proportional to 2,516.70, 3,475.12 and 1,634.02

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Solution

The fourth proportional to 2,516.70, 3,475.12 and 1,634.02 is: 2,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.70 : 3,475.12 = 1,634.02 : x
  2. Step 2: Convert to fraction form
    2,516.70/3,475.12 = 1,634.02/x
  3. Step 3: Cross multiply
    2,516.70x = 3,475.12 × 1,634.02
  4. Step 4: Simplify right side
    2,516.70x = 5,678,415.58
  5. Step 5: Solve for x
    x = 5,678,415.58/2,516.70
  6. Step 6: Final answer
    x = 2,256.29

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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.