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Finding the Fourth Proportional to 1,220.35, 1,827.07 and 949.60

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Solution

The fourth proportional to 1,220.35, 1,827.07 and 949.60 is: 1,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.35 : 1,827.07 = 949.60 : x
  2. Step 2: Convert to fraction form
    1,220.35/1,827.07 = 949.60/x
  3. Step 3: Cross multiply
    1,220.35x = 1,827.07 × 949.60
  4. Step 4: Simplify right side
    1,220.35x = 1,734,985.67
  5. Step 5: Solve for x
    x = 1,734,985.67/1,220.35
  6. Step 6: Final answer
    x = 1,421.71

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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.