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Finding the Fourth Proportional to 2,158.02, 3,237.57 and 697.26

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Solution

The fourth proportional to 2,158.02, 3,237.57 and 697.26 is: 1,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.02 : 3,237.57 = 697.26 : x
  2. Step 2: Convert to fraction form
    2,158.02/3,237.57 = 697.26/x
  3. Step 3: Cross multiply
    2,158.02x = 3,237.57 × 697.26
  4. Step 4: Simplify right side
    2,158.02x = 2,257,428.06
  5. Step 5: Solve for x
    x = 2,257,428.06/2,158.02
  6. Step 6: Final answer
    x = 1,046.06

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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.