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Finding the Fourth Proportional to 3,049.69, 4,575.18 and 969.42

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Solution

The fourth proportional to 3,049.69, 4,575.18 and 969.42 is: 1,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.69 : 4,575.18 = 969.42 : x
  2. Step 2: Convert to fraction form
    3,049.69/4,575.18 = 969.42/x
  3. Step 3: Cross multiply
    3,049.69x = 4,575.18 × 969.42
  4. Step 4: Simplify right side
    3,049.69x = 4,435,271.00
  5. Step 5: Solve for x
    x = 4,435,271.00/3,049.69
  6. Step 6: Final answer
    x = 1,454.34

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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.