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Finding the Fourth Proportional to 3,045.44, 4,564.82 and 1,196.21

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Solution

The fourth proportional to 3,045.44, 4,564.82 and 1,196.21 is: 1,793.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.44 : 4,564.82 = 1,196.21 : x
  2. Step 2: Convert to fraction form
    3,045.44/4,564.82 = 1,196.21/x
  3. Step 3: Cross multiply
    3,045.44x = 4,564.82 × 1,196.21
  4. Step 4: Simplify right side
    3,045.44x = 5,460,483.33
  5. Step 5: Solve for x
    x = 5,460,483.33/3,045.44
  6. Step 6: Final answer
    x = 1,793.00

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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.