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Finding the Fourth Proportional to 1,608.37, 2,218.50 and 944.75

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Solution

The fourth proportional to 1,608.37, 2,218.50 and 944.75 is: 1,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.37 : 2,218.50 = 944.75 : x
  2. Step 2: Convert to fraction form
    1,608.37/2,218.50 = 944.75/x
  3. Step 3: Cross multiply
    1,608.37x = 2,218.50 × 944.75
  4. Step 4: Simplify right side
    1,608.37x = 2,095,933.42
  5. Step 5: Solve for x
    x = 2,095,933.42/1,608.37
  6. Step 6: Final answer
    x = 1,303.14

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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.