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Finding the Fourth Proportional to 2,095.23, 3,142.74 and 634.33

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Solution

The fourth proportional to 2,095.23, 3,142.74 and 634.33 is: 951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.23 : 3,142.74 = 634.33 : x
  2. Step 2: Convert to fraction form
    2,095.23/3,142.74 = 634.33/x
  3. Step 3: Cross multiply
    2,095.23x = 3,142.74 × 634.33
  4. Step 4: Simplify right side
    2,095.23x = 1,993,534.26
  5. Step 5: Solve for x
    x = 1,993,534.26/2,095.23
  6. Step 6: Final answer
    x = 951.46

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1.5x scale

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.