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Finding the Fourth Proportional to 2,232.19, 3,348.39 and 845.35

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Solution

The fourth proportional to 2,232.19, 3,348.39 and 845.35 is: 1,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.19 : 3,348.39 = 845.35 : x
  2. Step 2: Convert to fraction form
    2,232.19/3,348.39 = 845.35/x
  3. Step 3: Cross multiply
    2,232.19x = 3,348.39 × 845.35
  4. Step 4: Simplify right side
    2,232.19x = 2,830,570.37
  5. Step 5: Solve for x
    x = 2,830,570.37/2,232.19
  6. Step 6: Final answer
    x = 1,268.07

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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.