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Finding the Fourth Proportional to 2,095.74, 2,892.12 and 1,211.76

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Solution

The fourth proportional to 2,095.74, 2,892.12 and 1,211.76 is: 1,672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.74 : 2,892.12 = 1,211.76 : x
  2. Step 2: Convert to fraction form
    2,095.74/2,892.12 = 1,211.76/x
  3. Step 3: Cross multiply
    2,095.74x = 2,892.12 × 1,211.76
  4. Step 4: Simplify right side
    2,095.74x = 3,504,555.33
  5. Step 5: Solve for x
    x = 3,504,555.33/2,095.74
  6. Step 6: Final answer
    x = 1,672.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.