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Finding the Fourth Proportional to 2,220.94, 3,332.63 and 835.21

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Solution

The fourth proportional to 2,220.94, 3,332.63 and 835.21 is: 1,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.94 : 3,332.63 = 835.21 : x
  2. Step 2: Convert to fraction form
    2,220.94/3,332.63 = 835.21/x
  3. Step 3: Cross multiply
    2,220.94x = 3,332.63 × 835.21
  4. Step 4: Simplify right side
    2,220.94x = 2,783,445.90
  5. Step 5: Solve for x
    x = 2,783,445.90/2,220.94
  6. Step 6: Final answer
    x = 1,253.27

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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.