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Finding the Fourth Proportional to 2,393.51, 3,583.74 and 1,236.83

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Solution

The fourth proportional to 2,393.51, 3,583.74 and 1,236.83 is: 1,851.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.51 : 3,583.74 = 1,236.83 : x
  2. Step 2: Convert to fraction form
    2,393.51/3,583.74 = 1,236.83/x
  3. Step 3: Cross multiply
    2,393.51x = 3,583.74 × 1,236.83
  4. Step 4: Simplify right side
    2,393.51x = 4,432,477.14
  5. Step 5: Solve for x
    x = 4,432,477.14/2,393.51
  6. Step 6: Final answer
    x = 1,851.87

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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.