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Finding the Fourth Proportional to 1,944.60, 2,684.53 and 1,237.16

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Solution

The fourth proportional to 1,944.60, 2,684.53 and 1,237.16 is: 1,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.60 : 2,684.53 = 1,237.16 : x
  2. Step 2: Convert to fraction form
    1,944.60/2,684.53 = 1,237.16/x
  3. Step 3: Cross multiply
    1,944.60x = 2,684.53 × 1,237.16
  4. Step 4: Simplify right side
    1,944.60x = 3,321,176.62
  5. Step 5: Solve for x
    x = 3,321,176.62/1,944.60
  6. Step 6: Final answer
    x = 1,707.90

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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.