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Finding the Fourth Proportional to 2,289.29, 3,159 and 1,294.65

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Solution

The fourth proportional to 2,289.29, 3,159 and 1,294.65 is: 1,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.29 : 3,159 = 1,294.65 : x
  2. Step 2: Convert to fraction form
    2,289.29/3,159 = 1,294.65/x
  3. Step 3: Cross multiply
    2,289.29x = 3,159 × 1,294.65
  4. Step 4: Simplify right side
    2,289.29x = 4,089,799.35
  5. Step 5: Solve for x
    x = 4,089,799.35/2,289.29
  6. Step 6: Final answer
    x = 1,786.50

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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.