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Finding the Fourth Proportional to 2,357.18, 3,252.98 and 1,362.44

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Solution

The fourth proportional to 2,357.18, 3,252.98 and 1,362.44 is: 1,880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.18 : 3,252.98 = 1,362.44 : x
  2. Step 2: Convert to fraction form
    2,357.18/3,252.98 = 1,362.44/x
  3. Step 3: Cross multiply
    2,357.18x = 3,252.98 × 1,362.44
  4. Step 4: Simplify right side
    2,357.18x = 4,431,990.07
  5. Step 5: Solve for x
    x = 4,431,990.07/2,357.18
  6. Step 6: Final answer
    x = 1,880.21

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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.