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Finding the Fourth Proportional to 1,612.89, 2,225.84 and 949.68

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Solution

The fourth proportional to 1,612.89, 2,225.84 and 949.68 is: 1,310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.89 : 2,225.84 = 949.68 : x
  2. Step 2: Convert to fraction form
    1,612.89/2,225.84 = 949.68/x
  3. Step 3: Cross multiply
    1,612.89x = 2,225.84 × 949.68
  4. Step 4: Simplify right side
    1,612.89x = 2,113,830.98
  5. Step 5: Solve for x
    x = 2,113,830.98/1,612.89
  6. Step 6: Final answer
    x = 1,310.59

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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.