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Finding the Fourth Proportional to 4,631.98, 6,949.14 and 1,345

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Solution

The fourth proportional to 4,631.98, 6,949.14 and 1,345 is: 2,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631.98 : 6,949.14 = 1,345 : x
  2. Step 2: Convert to fraction form
    4,631.98/6,949.14 = 1,345/x
  3. Step 3: Cross multiply
    4,631.98x = 6,949.14 × 1,345
  4. Step 4: Simplify right side
    4,631.98x = 9,346,593.30
  5. Step 5: Solve for x
    x = 9,346,593.30/4,631.98
  6. Step 6: Final answer
    x = 2,017.84

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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.