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Finding the Fourth Proportional to 3,257.02, 4,885.68 and 948.52

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Solution

The fourth proportional to 3,257.02, 4,885.68 and 948.52 is: 1,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.02 : 4,885.68 = 948.52 : x
  2. Step 2: Convert to fraction form
    3,257.02/4,885.68 = 948.52/x
  3. Step 3: Cross multiply
    3,257.02x = 4,885.68 × 948.52
  4. Step 4: Simplify right side
    3,257.02x = 4,634,165.19
  5. Step 5: Solve for x
    x = 4,634,165.19/3,257.02
  6. Step 6: Final answer
    x = 1,422.82

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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.