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Finding the Fourth Proportional to 1,937.65, 2,906.82 and 706.78

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Solution

The fourth proportional to 1,937.65, 2,906.82 and 706.78 is: 1,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.65 : 2,906.82 = 706.78 : x
  2. Step 2: Convert to fraction form
    1,937.65/2,906.82 = 706.78/x
  3. Step 3: Cross multiply
    1,937.65x = 2,906.82 × 706.78
  4. Step 4: Simplify right side
    1,937.65x = 2,054,482.24
  5. Step 5: Solve for x
    x = 2,054,482.24/1,937.65
  6. Step 6: Final answer
    x = 1,060.30

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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.