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Finding the Fourth Proportional to 3,045.22, 4,568.04 and 965.32

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Solution

The fourth proportional to 3,045.22, 4,568.04 and 965.32 is: 1,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.22 : 4,568.04 = 965.32 : x
  2. Step 2: Convert to fraction form
    3,045.22/4,568.04 = 965.32/x
  3. Step 3: Cross multiply
    3,045.22x = 4,568.04 × 965.32
  4. Step 4: Simplify right side
    3,045.22x = 4,409,608.95
  5. Step 5: Solve for x
    x = 4,409,608.95/3,045.22
  6. Step 6: Final answer
    x = 1,448.04

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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.