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Finding the Fourth Proportional to 2,906, 4,010.44 and 1,664.40

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Solution

The fourth proportional to 2,906, 4,010.44 and 1,664.40 is: 2,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906 : 4,010.44 = 1,664.40 : x
  2. Step 2: Convert to fraction form
    2,906/4,010.44 = 1,664.40/x
  3. Step 3: Cross multiply
    2,906x = 4,010.44 × 1,664.40
  4. Step 4: Simplify right side
    2,906x = 6,674,976.34
  5. Step 5: Solve for x
    x = 6,674,976.34/2,906
  6. Step 6: Final answer
    x = 2,296.96

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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.