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Finding the Fourth Proportional to 3,102.26, 4,653.60 and 1,050.26

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Solution

The fourth proportional to 3,102.26, 4,653.60 and 1,050.26 is: 1,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.26 : 4,653.60 = 1,050.26 : x
  2. Step 2: Convert to fraction form
    3,102.26/4,653.60 = 1,050.26/x
  3. Step 3: Cross multiply
    3,102.26x = 4,653.60 × 1,050.26
  4. Step 4: Simplify right side
    3,102.26x = 4,887,489.94
  5. Step 5: Solve for x
    x = 4,887,489.94/3,102.26
  6. Step 6: Final answer
    x = 1,575.46

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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.