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Finding the Fourth Proportional to 3,112.65, 4,669.88 and 921.43

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Solution

The fourth proportional to 3,112.65, 4,669.88 and 921.43 is: 1,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.65 : 4,669.88 = 921.43 : x
  2. Step 2: Convert to fraction form
    3,112.65/4,669.88 = 921.43/x
  3. Step 3: Cross multiply
    3,112.65x = 4,669.88 × 921.43
  4. Step 4: Simplify right side
    3,112.65x = 4,302,980.46
  5. Step 5: Solve for x
    x = 4,302,980.46/3,112.65
  6. Step 6: Final answer
    x = 1,382.42

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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.