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Finding the Fourth Proportional to 4,474.24, 6,711.88 and 1,703

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Solution

The fourth proportional to 4,474.24, 6,711.88 and 1,703 is: 2,554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.24 : 6,711.88 = 1,703 : x
  2. Step 2: Convert to fraction form
    4,474.24/6,711.88 = 1,703/x
  3. Step 3: Cross multiply
    4,474.24x = 6,711.88 × 1,703
  4. Step 4: Simplify right side
    4,474.24x = 11,430,331.64
  5. Step 5: Solve for x
    x = 11,430,331.64/4,474.24
  6. Step 6: Final answer
    x = 2,554.70

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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.