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Finding the Fourth Proportional to 2,256.59, 3,114.07 and 1,299.69

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Solution

The fourth proportional to 2,256.59, 3,114.07 and 1,299.69 is: 1,793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.59 : 3,114.07 = 1,299.69 : x
  2. Step 2: Convert to fraction form
    2,256.59/3,114.07 = 1,299.69/x
  3. Step 3: Cross multiply
    2,256.59x = 3,114.07 × 1,299.69
  4. Step 4: Simplify right side
    2,256.59x = 4,047,325.64
  5. Step 5: Solve for x
    x = 4,047,325.64/2,256.59
  6. Step 6: Final answer
    x = 1,793.56

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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.