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Finding the Fourth Proportional to 2,102.94, 3,154.96 and 1,049.06

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Solution

The fourth proportional to 2,102.94, 3,154.96 and 1,049.06 is: 1,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.94 : 3,154.96 = 1,049.06 : x
  2. Step 2: Convert to fraction form
    2,102.94/3,154.96 = 1,049.06/x
  3. Step 3: Cross multiply
    2,102.94x = 3,154.96 × 1,049.06
  4. Step 4: Simplify right side
    2,102.94x = 3,309,721.32
  5. Step 5: Solve for x
    x = 3,309,721.32/2,102.94
  6. Step 6: Final answer
    x = 1,573.86

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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.