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Finding the Fourth Proportional to 2,225.34, 3,340.02 and 1,186.21

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Solution

The fourth proportional to 2,225.34, 3,340.02 and 1,186.21 is: 1,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.34 : 3,340.02 = 1,186.21 : x
  2. Step 2: Convert to fraction form
    2,225.34/3,340.02 = 1,186.21/x
  3. Step 3: Cross multiply
    2,225.34x = 3,340.02 × 1,186.21
  4. Step 4: Simplify right side
    2,225.34x = 3,961,965.12
  5. Step 5: Solve for x
    x = 3,961,965.12/2,225.34
  6. Step 6: Final answer
    x = 1,780.39

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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.