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Finding the Fourth Proportional to 3,135.94, 4,701.03 and 1,082.50

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Solution

The fourth proportional to 3,135.94, 4,701.03 and 1,082.50 is: 1,622.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.94 : 4,701.03 = 1,082.50 : x
  2. Step 2: Convert to fraction form
    3,135.94/4,701.03 = 1,082.50/x
  3. Step 3: Cross multiply
    3,135.94x = 4,701.03 × 1,082.50
  4. Step 4: Simplify right side
    3,135.94x = 5,088,864.98
  5. Step 5: Solve for x
    x = 5,088,864.98/3,135.94
  6. Step 6: Final answer
    x = 1,622.76

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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.