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Finding the Fourth Proportional to 3,141.77, 4,709.04 and 1,755.74

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Solution

The fourth proportional to 3,141.77, 4,709.04 and 1,755.74 is: 2,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.77 : 4,709.04 = 1,755.74 : x
  2. Step 2: Convert to fraction form
    3,141.77/4,709.04 = 1,755.74/x
  3. Step 3: Cross multiply
    3,141.77x = 4,709.04 × 1,755.74
  4. Step 4: Simplify right side
    3,141.77x = 8,267,826.34
  5. Step 5: Solve for x
    x = 8,267,826.34/3,141.77
  6. Step 6: Final answer
    x = 2,631.59

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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.