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Finding the Fourth Proportional to 3,050.12, 4,575.60 and 969.41

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Solution

The fourth proportional to 3,050.12, 4,575.60 and 969.41 is: 1,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.12 : 4,575.60 = 969.41 : x
  2. Step 2: Convert to fraction form
    3,050.12/4,575.60 = 969.41/x
  3. Step 3: Cross multiply
    3,050.12x = 4,575.60 × 969.41
  4. Step 4: Simplify right side
    3,050.12x = 4,435,609.52
  5. Step 5: Solve for x
    x = 4,435,609.52/3,050.12
  6. Step 6: Final answer
    x = 1,454.24

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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.