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Finding the Fourth Proportional to 1,674.46, 2,310.46 and 966.14

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Solution

The fourth proportional to 1,674.46, 2,310.46 and 966.14 is: 1,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.46 : 2,310.46 = 966.14 : x
  2. Step 2: Convert to fraction form
    1,674.46/2,310.46 = 966.14/x
  3. Step 3: Cross multiply
    1,674.46x = 2,310.46 × 966.14
  4. Step 4: Simplify right side
    1,674.46x = 2,232,227.82
  5. Step 5: Solve for x
    x = 2,232,227.82/1,674.46
  6. Step 6: Final answer
    x = 1,333.10

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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.