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Finding the Fourth Proportional to 1,975.74, 2,964.65 and 806.61

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Solution

The fourth proportional to 1,975.74, 2,964.65 and 806.61 is: 1,210.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.74 : 2,964.65 = 806.61 : x
  2. Step 2: Convert to fraction form
    1,975.74/2,964.65 = 806.61/x
  3. Step 3: Cross multiply
    1,975.74x = 2,964.65 × 806.61
  4. Step 4: Simplify right side
    1,975.74x = 2,391,312.30
  5. Step 5: Solve for x
    x = 2,391,312.30/1,975.74
  6. Step 6: Final answer
    x = 1,210.34

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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.