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Finding the Fourth Proportional to 3,314.65, 4,971.94 and 849.45

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Solution

The fourth proportional to 3,314.65, 4,971.94 and 849.45 is: 1,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.65 : 4,971.94 = 849.45 : x
  2. Step 2: Convert to fraction form
    3,314.65/4,971.94 = 849.45/x
  3. Step 3: Cross multiply
    3,314.65x = 4,971.94 × 849.45
  4. Step 4: Simplify right side
    3,314.65x = 4,223,414.43
  5. Step 5: Solve for x
    x = 4,223,414.43/3,314.65
  6. Step 6: Final answer
    x = 1,274.17

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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.