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Finding the Fourth Proportional to 2,157.03, 3,235.61 and 696.19

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Solution

The fourth proportional to 2,157.03, 3,235.61 and 696.19 is: 1,044.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.03 : 3,235.61 = 696.19 : x
  2. Step 2: Convert to fraction form
    2,157.03/3,235.61 = 696.19/x
  3. Step 3: Cross multiply
    2,157.03x = 3,235.61 × 696.19
  4. Step 4: Simplify right side
    2,157.03x = 2,252,599.33
  5. Step 5: Solve for x
    x = 2,252,599.33/2,157.03
  6. Step 6: Final answer
    x = 1,044.31

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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.