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Finding the Fourth Proportional to 2,289.73, 3,159.06 and 1,294.63

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Solution

The fourth proportional to 2,289.73, 3,159.06 and 1,294.63 is: 1,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.73 : 3,159.06 = 1,294.63 : x
  2. Step 2: Convert to fraction form
    2,289.73/3,159.06 = 1,294.63/x
  3. Step 3: Cross multiply
    2,289.73x = 3,159.06 × 1,294.63
  4. Step 4: Simplify right side
    2,289.73x = 4,089,813.85
  5. Step 5: Solve for x
    x = 4,089,813.85/2,289.73
  6. Step 6: Final answer
    x = 1,786.16

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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.