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Finding the Fourth Proportional to 3,032.34, 4,548.57 and 952.30

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Solution

The fourth proportional to 3,032.34, 4,548.57 and 952.30 is: 1,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.34 : 4,548.57 = 952.30 : x
  2. Step 2: Convert to fraction form
    3,032.34/4,548.57 = 952.30/x
  3. Step 3: Cross multiply
    3,032.34x = 4,548.57 × 952.30
  4. Step 4: Simplify right side
    3,032.34x = 4,331,603.21
  5. Step 5: Solve for x
    x = 4,331,603.21/3,032.34
  6. Step 6: Final answer
    x = 1,428.47

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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.