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Finding the Fourth Proportional to 2,102.23, 3,152.37 and 641.07

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Solution

The fourth proportional to 2,102.23, 3,152.37 and 641.07 is: 961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.23 : 3,152.37 = 641.07 : x
  2. Step 2: Convert to fraction form
    2,102.23/3,152.37 = 641.07/x
  3. Step 3: Cross multiply
    2,102.23x = 3,152.37 × 641.07
  4. Step 4: Simplify right side
    2,102.23x = 2,020,886.63
  5. Step 5: Solve for x
    x = 2,020,886.63/2,102.23
  6. Step 6: Final answer
    x = 961.31

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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.