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Finding the Fourth Proportional to 1,645.99, 2,466.72 and 722.32

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Solution

The fourth proportional to 1,645.99, 2,466.72 and 722.32 is: 1,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.99 : 2,466.72 = 722.32 : x
  2. Step 2: Convert to fraction form
    1,645.99/2,466.72 = 722.32/x
  3. Step 3: Cross multiply
    1,645.99x = 2,466.72 × 722.32
  4. Step 4: Simplify right side
    1,645.99x = 1,781,755.02
  5. Step 5: Solve for x
    x = 1,781,755.02/1,645.99
  6. Step 6: Final answer
    x = 1,082.48

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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.