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Finding the Fourth Proportional to 1,661.22, 2,492.10 and 1,296.72

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Solution

The fourth proportional to 1,661.22, 2,492.10 and 1,296.72 is: 1,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.22 : 2,492.10 = 1,296.72 : x
  2. Step 2: Convert to fraction form
    1,661.22/2,492.10 = 1,296.72/x
  3. Step 3: Cross multiply
    1,661.22x = 2,492.10 × 1,296.72
  4. Step 4: Simplify right side
    1,661.22x = 3,231,555.91
  5. Step 5: Solve for x
    x = 3,231,555.91/1,661.22
  6. Step 6: Final answer
    x = 1,945.29

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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.