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Finding the Fourth Proportional to 2,945.64, 4,415.73 and 2,393.42

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Solution

The fourth proportional to 2,945.64, 4,415.73 and 2,393.42 is: 3,587.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.64 : 4,415.73 = 2,393.42 : x
  2. Step 2: Convert to fraction form
    2,945.64/4,415.73 = 2,393.42/x
  3. Step 3: Cross multiply
    2,945.64x = 4,415.73 × 2,393.42
  4. Step 4: Simplify right side
    2,945.64x = 10,568,696.50
  5. Step 5: Solve for x
    x = 10,568,696.50/2,945.64
  6. Step 6: Final answer
    x = 3,587.91

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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.