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Finding the Fourth Proportional to 2,134.76, 3,202.74 and 1,768.43

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Solution

The fourth proportional to 2,134.76, 3,202.74 and 1,768.43 is: 2,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.76 : 3,202.74 = 1,768.43 : x
  2. Step 2: Convert to fraction form
    2,134.76/3,202.74 = 1,768.43/x
  3. Step 3: Cross multiply
    2,134.76x = 3,202.74 × 1,768.43
  4. Step 4: Simplify right side
    2,134.76x = 5,663,829.51
  5. Step 5: Solve for x
    x = 5,663,829.51/2,134.76
  6. Step 6: Final answer
    x = 2,653.15

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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.