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Finding the Fourth Proportional to 2,170.94, 3,256.74 and 709.76

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Solution

The fourth proportional to 2,170.94, 3,256.74 and 709.76 is: 1,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.94 : 3,256.74 = 709.76 : x
  2. Step 2: Convert to fraction form
    2,170.94/3,256.74 = 709.76/x
  3. Step 3: Cross multiply
    2,170.94x = 3,256.74 × 709.76
  4. Step 4: Simplify right side
    2,170.94x = 2,311,503.78
  5. Step 5: Solve for x
    x = 2,311,503.78/2,170.94
  6. Step 6: Final answer
    x = 1,064.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.