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Finding the Fourth Proportional to 1,967.29, 2,946.07 and 1,234.65

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Solution

The fourth proportional to 1,967.29, 2,946.07 and 1,234.65 is: 1,848.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.29 : 2,946.07 = 1,234.65 : x
  2. Step 2: Convert to fraction form
    1,967.29/2,946.07 = 1,234.65/x
  3. Step 3: Cross multiply
    1,967.29x = 2,946.07 × 1,234.65
  4. Step 4: Simplify right side
    1,967.29x = 3,637,365.33
  5. Step 5: Solve for x
    x = 3,637,365.33/1,967.29
  6. Step 6: Final answer
    x = 1,848.92

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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.