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Finding the Fourth Proportional to 3,232.23, 4,460.62 and 1,835.11

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Solution

The fourth proportional to 3,232.23, 4,460.62 and 1,835.11 is: 2,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.23 : 4,460.62 = 1,835.11 : x
  2. Step 2: Convert to fraction form
    3,232.23/4,460.62 = 1,835.11/x
  3. Step 3: Cross multiply
    3,232.23x = 4,460.62 × 1,835.11
  4. Step 4: Simplify right side
    3,232.23x = 8,185,728.37
  5. Step 5: Solve for x
    x = 8,185,728.37/3,232.23
  6. Step 6: Final answer
    x = 2,532.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.