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Finding the Fourth Proportional to 4,165.38, 6,250.14 and 1,700.82

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Solution

The fourth proportional to 4,165.38, 6,250.14 and 1,700.82 is: 2,552.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.38 : 6,250.14 = 1,700.82 : x
  2. Step 2: Convert to fraction form
    4,165.38/6,250.14 = 1,700.82/x
  3. Step 3: Cross multiply
    4,165.38x = 6,250.14 × 1,700.82
  4. Step 4: Simplify right side
    4,165.38x = 10,630,363.11
  5. Step 5: Solve for x
    x = 10,630,363.11/4,165.38
  6. Step 6: Final answer
    x = 2,552.08

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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.