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Finding the Fourth Proportional to 2,235.13, 3,354.72 and 1,196.01

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Solution

The fourth proportional to 2,235.13, 3,354.72 and 1,196.01 is: 1,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.13 : 3,354.72 = 1,196.01 : x
  2. Step 2: Convert to fraction form
    2,235.13/3,354.72 = 1,196.01/x
  3. Step 3: Cross multiply
    2,235.13x = 3,354.72 × 1,196.01
  4. Step 4: Simplify right side
    2,235.13x = 4,012,278.67
  5. Step 5: Solve for x
    x = 4,012,278.67/2,235.13
  6. Step 6: Final answer
    x = 1,795.10

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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.