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Finding the Fourth Proportional to 2,412.60, 3,615.75 and 949.74

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Solution

The fourth proportional to 2,412.60, 3,615.75 and 949.74 is: 1,423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.60 : 3,615.75 = 949.74 : x
  2. Step 2: Convert to fraction form
    2,412.60/3,615.75 = 949.74/x
  3. Step 3: Cross multiply
    2,412.60x = 3,615.75 × 949.74
  4. Step 4: Simplify right side
    2,412.60x = 3,434,022.41
  5. Step 5: Solve for x
    x = 3,434,022.41/2,412.60
  6. Step 6: Final answer
    x = 1,423.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.