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Finding the Fourth Proportional to 3,032.96, 4,548.83 and 952.67

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Solution

The fourth proportional to 3,032.96, 4,548.83 and 952.67 is: 1,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.96 : 4,548.83 = 952.67 : x
  2. Step 2: Convert to fraction form
    3,032.96/4,548.83 = 952.67/x
  3. Step 3: Cross multiply
    3,032.96x = 4,548.83 × 952.67
  4. Step 4: Simplify right side
    3,032.96x = 4,333,540.48
  5. Step 5: Solve for x
    x = 4,333,540.48/3,032.96
  6. Step 6: Final answer
    x = 1,428.82

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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.