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Finding the Fourth Proportional to 2,905.96, 4,012.65 and 2,344.63

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Solution

The fourth proportional to 2,905.96, 4,012.65 and 2,344.63 is: 3,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.96 : 4,012.65 = 2,344.63 : x
  2. Step 2: Convert to fraction form
    2,905.96/4,012.65 = 2,344.63/x
  3. Step 3: Cross multiply
    2,905.96x = 4,012.65 × 2,344.63
  4. Step 4: Simplify right side
    2,905.96x = 9,408,179.57
  5. Step 5: Solve for x
    x = 9,408,179.57/2,905.96
  6. Step 6: Final answer
    x = 3,237.55

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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.