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Finding the Fourth Proportional to 2,232.86, 3,348.63 and 845.19

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Solution

The fourth proportional to 2,232.86, 3,348.63 and 845.19 is: 1,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.86 : 3,348.63 = 845.19 : x
  2. Step 2: Convert to fraction form
    2,232.86/3,348.63 = 845.19/x
  3. Step 3: Cross multiply
    2,232.86x = 3,348.63 × 845.19
  4. Step 4: Simplify right side
    2,232.86x = 2,830,228.59
  5. Step 5: Solve for x
    x = 2,830,228.59/2,232.86
  6. Step 6: Final answer
    x = 1,267.54

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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.