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Finding the Fourth Proportional to 2,158.10, 3,237.12 and 697.22

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Solution

The fourth proportional to 2,158.10, 3,237.12 and 697.22 is: 1,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.10 : 3,237.12 = 697.22 : x
  2. Step 2: Convert to fraction form
    2,158.10/3,237.12 = 697.22/x
  3. Step 3: Cross multiply
    2,158.10x = 3,237.12 × 697.22
  4. Step 4: Simplify right side
    2,158.10x = 2,256,968.62
  5. Step 5: Solve for x
    x = 2,256,968.62/2,158.10
  6. Step 6: Final answer
    x = 1,045.82

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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.