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Finding the Fourth Proportional to 3,032.20, 4,548.01 and 952.15

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Solution

The fourth proportional to 3,032.20, 4,548.01 and 952.15 is: 1,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.20 : 4,548.01 = 952.15 : x
  2. Step 2: Convert to fraction form
    3,032.20/4,548.01 = 952.15/x
  3. Step 3: Cross multiply
    3,032.20x = 4,548.01 × 952.15
  4. Step 4: Simplify right side
    3,032.20x = 4,330,392.30
  5. Step 5: Solve for x
    x = 4,330,392.30/3,032.20
  6. Step 6: Final answer
    x = 1,428.13

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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.