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Finding the Fourth Proportional to 2,256.89, 3,389.79 and 2,159.69

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Solution

The fourth proportional to 2,256.89, 3,389.79 and 2,159.69 is: 3,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.89 : 3,389.79 = 2,159.69 : x
  2. Step 2: Convert to fraction form
    2,256.89/3,389.79 = 2,159.69/x
  3. Step 3: Cross multiply
    2,256.89x = 3,389.79 × 2,159.69
  4. Step 4: Simplify right side
    2,256.89x = 7,320,895.57
  5. Step 5: Solve for x
    x = 7,320,895.57/2,256.89
  6. Step 6: Final answer
    x = 3,243.80

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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.