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Finding the Fourth Proportional to 2,821.58, 4,227.72 and 971.69

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Solution

The fourth proportional to 2,821.58, 4,227.72 and 971.69 is: 1,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.58 : 4,227.72 = 971.69 : x
  2. Step 2: Convert to fraction form
    2,821.58/4,227.72 = 971.69/x
  3. Step 3: Cross multiply
    2,821.58x = 4,227.72 × 971.69
  4. Step 4: Simplify right side
    2,821.58x = 4,108,033.25
  5. Step 5: Solve for x
    x = 4,108,033.25/2,821.58
  6. Step 6: Final answer
    x = 1,455.93

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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.