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Finding the Fourth Proportional to 3,256.63, 4,885.08 and 948.13

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Solution

The fourth proportional to 3,256.63, 4,885.08 and 948.13 is: 1,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.63 : 4,885.08 = 948.13 : x
  2. Step 2: Convert to fraction form
    3,256.63/4,885.08 = 948.13/x
  3. Step 3: Cross multiply
    3,256.63x = 4,885.08 × 948.13
  4. Step 4: Simplify right side
    3,256.63x = 4,631,661.73
  5. Step 5: Solve for x
    x = 4,631,661.73/3,256.63
  6. Step 6: Final answer
    x = 1,422.23

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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.