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Finding the Fourth Proportional to 1,966.23, 2,949.34 and 505.38

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Solution

The fourth proportional to 1,966.23, 2,949.34 and 505.38 is: 758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.23 : 2,949.34 = 505.38 : x
  2. Step 2: Convert to fraction form
    1,966.23/2,949.34 = 505.38/x
  3. Step 3: Cross multiply
    1,966.23x = 2,949.34 × 505.38
  4. Step 4: Simplify right side
    1,966.23x = 1,490,537.13
  5. Step 5: Solve for x
    x = 1,490,537.13/1,966.23
  6. Step 6: Final answer
    x = 758.07

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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.