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Finding the Fourth Proportional to 1,674.78, 2,310.78 and 976.14

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Solution

The fourth proportional to 1,674.78, 2,310.78 and 976.14 is: 1,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.78 : 2,310.78 = 976.14 : x
  2. Step 2: Convert to fraction form
    1,674.78/2,310.78 = 976.14/x
  3. Step 3: Cross multiply
    1,674.78x = 2,310.78 × 976.14
  4. Step 4: Simplify right side
    1,674.78x = 2,255,644.79
  5. Step 5: Solve for x
    x = 2,255,644.79/1,674.78
  6. Step 6: Final answer
    x = 1,346.83

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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.