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Finding the Fourth Proportional to 3,164.49, 4,744.16 and 1,316.99

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Solution

The fourth proportional to 3,164.49, 4,744.16 and 1,316.99 is: 1,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.49 : 4,744.16 = 1,316.99 : x
  2. Step 2: Convert to fraction form
    3,164.49/4,744.16 = 1,316.99/x
  3. Step 3: Cross multiply
    3,164.49x = 4,744.16 × 1,316.99
  4. Step 4: Simplify right side
    3,164.49x = 6,248,002.21
  5. Step 5: Solve for x
    x = 6,248,002.21/3,164.49
  6. Step 6: Final answer
    x = 1,974.41

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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.