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Finding the Fourth Proportional to 3,256.56, 4,885.75 and 1,310.13

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Solution

The fourth proportional to 3,256.56, 4,885.75 and 1,310.13 is: 1,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.56 : 4,885.75 = 1,310.13 : x
  2. Step 2: Convert to fraction form
    3,256.56/4,885.75 = 1,310.13/x
  3. Step 3: Cross multiply
    3,256.56x = 4,885.75 × 1,310.13
  4. Step 4: Simplify right side
    3,256.56x = 6,400,969.29
  5. Step 5: Solve for x
    x = 6,400,969.29/3,256.56
  6. Step 6: Final answer
    x = 1,965.56

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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.