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Finding the Fourth Proportional to 3,409.60, 4,702.44 and 2,011

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Solution

The fourth proportional to 3,409.60, 4,702.44 and 2,011 is: 2,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.60 : 4,702.44 = 2,011 : x
  2. Step 2: Convert to fraction form
    3,409.60/4,702.44 = 2,011/x
  3. Step 3: Cross multiply
    3,409.60x = 4,702.44 × 2,011
  4. Step 4: Simplify right side
    3,409.60x = 9,456,606.84
  5. Step 5: Solve for x
    x = 9,456,606.84/3,409.60
  6. Step 6: Final answer
    x = 2,773.52

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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.