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Finding the Fourth Proportional to 2,437.48, 3,647.71 and 1,993.60

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Solution

The fourth proportional to 2,437.48, 3,647.71 and 1,993.60 is: 2,983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.48 : 3,647.71 = 1,993.60 : x
  2. Step 2: Convert to fraction form
    2,437.48/3,647.71 = 1,993.60/x
  3. Step 3: Cross multiply
    2,437.48x = 3,647.71 × 1,993.60
  4. Step 4: Simplify right side
    2,437.48x = 7,272,074.66
  5. Step 5: Solve for x
    x = 7,272,074.66/2,437.48
  6. Step 6: Final answer
    x = 2,983.44

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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.