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Finding the Fourth Proportional to 2,902.26, 4,005.63 and 1,723.98

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Solution

The fourth proportional to 2,902.26, 4,005.63 and 1,723.98 is: 2,379.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.26 : 4,005.63 = 1,723.98 : x
  2. Step 2: Convert to fraction form
    2,902.26/4,005.63 = 1,723.98/x
  3. Step 3: Cross multiply
    2,902.26x = 4,005.63 × 1,723.98
  4. Step 4: Simplify right side
    2,902.26x = 6,905,626.01
  5. Step 5: Solve for x
    x = 6,905,626.01/2,902.26
  6. Step 6: Final answer
    x = 2,379.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.