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Finding the Fourth Proportional to 2,893.08, 4,340.16 and 945.36

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Solution

The fourth proportional to 2,893.08, 4,340.16 and 945.36 is: 1,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.08 : 4,340.16 = 945.36 : x
  2. Step 2: Convert to fraction form
    2,893.08/4,340.16 = 945.36/x
  3. Step 3: Cross multiply
    2,893.08x = 4,340.16 × 945.36
  4. Step 4: Simplify right side
    2,893.08x = 4,103,013.66
  5. Step 5: Solve for x
    x = 4,103,013.66/2,893.08
  6. Step 6: Final answer
    x = 1,418.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.