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Finding the Fourth Proportional to 3,032.30, 4,548.64 and 952.68

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Solution

The fourth proportional to 3,032.30, 4,548.64 and 952.68 is: 1,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.30 : 4,548.64 = 952.68 : x
  2. Step 2: Convert to fraction form
    3,032.30/4,548.64 = 952.68/x
  3. Step 3: Cross multiply
    3,032.30x = 4,548.64 × 952.68
  4. Step 4: Simplify right side
    3,032.30x = 4,333,398.36
  5. Step 5: Solve for x
    x = 4,333,398.36/3,032.30
  6. Step 6: Final answer
    x = 1,429.08

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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.