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Finding the Fourth Proportional to 3,215.90, 4,825.47 and 1,269.47

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Solution

The fourth proportional to 3,215.90, 4,825.47 and 1,269.47 is: 1,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.90 : 4,825.47 = 1,269.47 : x
  2. Step 2: Convert to fraction form
    3,215.90/4,825.47 = 1,269.47/x
  3. Step 3: Cross multiply
    3,215.90x = 4,825.47 × 1,269.47
  4. Step 4: Simplify right side
    3,215.90x = 6,125,806.23
  5. Step 5: Solve for x
    x = 6,125,806.23/3,215.90
  6. Step 6: Final answer
    x = 1,904.85

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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.