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Finding the Fourth Proportional to 2,469.35, 3,407.36 and 1,586.35

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Solution

The fourth proportional to 2,469.35, 3,407.36 and 1,586.35 is: 2,188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.35 : 3,407.36 = 1,586.35 : x
  2. Step 2: Convert to fraction form
    2,469.35/3,407.36 = 1,586.35/x
  3. Step 3: Cross multiply
    2,469.35x = 3,407.36 × 1,586.35
  4. Step 4: Simplify right side
    2,469.35x = 5,405,248.50
  5. Step 5: Solve for x
    x = 5,405,248.50/2,469.35
  6. Step 6: Final answer
    x = 2,188.94

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