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Finding the Fourth Proportional to 2,893.30, 4,340.13 and 945.52

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Solution

The fourth proportional to 2,893.30, 4,340.13 and 945.52 is: 1,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.30 : 4,340.13 = 945.52 : x
  2. Step 2: Convert to fraction form
    2,893.30/4,340.13 = 945.52/x
  3. Step 3: Cross multiply
    2,893.30x = 4,340.13 × 945.52
  4. Step 4: Simplify right side
    2,893.30x = 4,103,679.72
  5. Step 5: Solve for x
    x = 4,103,679.72/2,893.30
  6. Step 6: Final answer
    x = 1,418.34

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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.