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Finding the Fourth Proportional to 4,640.98, 6,962.64 and 1,354

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Solution

The fourth proportional to 4,640.98, 6,962.64 and 1,354 is: 2,031.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.98 : 6,962.64 = 1,354 : x
  2. Step 2: Convert to fraction form
    4,640.98/6,962.64 = 1,354/x
  3. Step 3: Cross multiply
    4,640.98x = 6,962.64 × 1,354
  4. Step 4: Simplify right side
    4,640.98x = 9,427,414.56
  5. Step 5: Solve for x
    x = 9,427,414.56/4,640.98
  6. Step 6: Final answer
    x = 2,031.34

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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.