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Finding the Fourth Proportional to 1,466.96, 2,197.61 and 1,003.64

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Solution

The fourth proportional to 1,466.96, 2,197.61 and 1,003.64 is: 1,503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.96 : 2,197.61 = 1,003.64 : x
  2. Step 2: Convert to fraction form
    1,466.96/2,197.61 = 1,003.64/x
  3. Step 3: Cross multiply
    1,466.96x = 2,197.61 × 1,003.64
  4. Step 4: Simplify right side
    1,466.96x = 2,205,604.28
  5. Step 5: Solve for x
    x = 2,205,604.28/1,466.96
  6. Step 6: Final answer
    x = 1,503.52

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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.