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Finding the Fourth Proportional to 2,231.60, 3,347.06 and 845.59

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Solution

The fourth proportional to 2,231.60, 3,347.06 and 845.59 is: 1,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.60 : 3,347.06 = 845.59 : x
  2. Step 2: Convert to fraction form
    2,231.60/3,347.06 = 845.59/x
  3. Step 3: Cross multiply
    2,231.60x = 3,347.06 × 845.59
  4. Step 4: Simplify right side
    2,231.60x = 2,830,240.47
  5. Step 5: Solve for x
    x = 2,830,240.47/2,231.60
  6. Step 6: Final answer
    x = 1,268.26

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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.