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Finding the Fourth Proportional to 1,492.92, 2,241.60 and 1,466.70

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Solution

The fourth proportional to 1,492.92, 2,241.60 and 1,466.70 is: 2,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.92 : 2,241.60 = 1,466.70 : x
  2. Step 2: Convert to fraction form
    1,492.92/2,241.60 = 1,466.70/x
  3. Step 3: Cross multiply
    1,492.92x = 2,241.60 × 1,466.70
  4. Step 4: Simplify right side
    1,492.92x = 3,287,754.72
  5. Step 5: Solve for x
    x = 3,287,754.72/1,492.92
  6. Step 6: Final answer
    x = 2,202.23

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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.