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Finding the Fourth Proportional to 1,892.14, 2,838.66 and 967.66

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Solution

The fourth proportional to 1,892.14, 2,838.66 and 967.66 is: 1,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.14 : 2,838.66 = 967.66 : x
  2. Step 2: Convert to fraction form
    1,892.14/2,838.66 = 967.66/x
  3. Step 3: Cross multiply
    1,892.14x = 2,838.66 × 967.66
  4. Step 4: Simplify right side
    1,892.14x = 2,746,857.74
  5. Step 5: Solve for x
    x = 2,746,857.74/1,892.14
  6. Step 6: Final answer
    x = 1,451.72

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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.