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Finding the Fourth Proportional to 1,234.01, 1,834.35 and 1,197.15

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Solution

The fourth proportional to 1,234.01, 1,834.35 and 1,197.15 is: 1,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.01 : 1,834.35 = 1,197.15 : x
  2. Step 2: Convert to fraction form
    1,234.01/1,834.35 = 1,197.15/x
  3. Step 3: Cross multiply
    1,234.01x = 1,834.35 × 1,197.15
  4. Step 4: Simplify right side
    1,234.01x = 2,195,992.10
  5. Step 5: Solve for x
    x = 2,195,992.10/1,234.01
  6. Step 6: Final answer
    x = 1,779.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.