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Finding the Fourth Proportional to 2,152.92, 3,212.04 and 1,945.32

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Solution

The fourth proportional to 2,152.92, 3,212.04 and 1,945.32 is: 2,902.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.92 : 3,212.04 = 1,945.32 : x
  2. Step 2: Convert to fraction form
    2,152.92/3,212.04 = 1,945.32/x
  3. Step 3: Cross multiply
    2,152.92x = 3,212.04 × 1,945.32
  4. Step 4: Simplify right side
    2,152.92x = 6,248,445.65
  5. Step 5: Solve for x
    x = 6,248,445.65/2,152.92
  6. Step 6: Final answer
    x = 2,902.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.