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Finding the Fourth Proportional to 3,256.56, 4,885.08 and 948

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Solution

The fourth proportional to 3,256.56, 4,885.08 and 948 is: 1,422.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.56 : 4,885.08 = 948 : x
  2. Step 2: Convert to fraction form
    3,256.56/4,885.08 = 948/x
  3. Step 3: Cross multiply
    3,256.56x = 4,885.08 × 948
  4. Step 4: Simplify right side
    3,256.56x = 4,631,055.84
  5. Step 5: Solve for x
    x = 4,631,055.84/3,256.56
  6. Step 6: Final answer
    x = 1,422.07

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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.