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Finding the Fourth Proportional to 3,032.49, 4,548.94 and 952.58

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Solution

The fourth proportional to 3,032.49, 4,548.94 and 952.58 is: 1,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.49 : 4,548.94 = 952.58 : x
  2. Step 2: Convert to fraction form
    3,032.49/4,548.94 = 952.58/x
  3. Step 3: Cross multiply
    3,032.49x = 4,548.94 × 952.58
  4. Step 4: Simplify right side
    3,032.49x = 4,333,238.26
  5. Step 5: Solve for x
    x = 4,333,238.26/3,032.49
  6. Step 6: Final answer
    x = 1,428.94

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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.