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Finding the Fourth Proportional to 2,940.02, 4,050.42 and 2,054.42

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Solution

The fourth proportional to 2,940.02, 4,050.42 and 2,054.42 is: 2,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.02 : 4,050.42 = 2,054.42 : x
  2. Step 2: Convert to fraction form
    2,940.02/4,050.42 = 2,054.42/x
  3. Step 3: Cross multiply
    2,940.02x = 4,050.42 × 2,054.42
  4. Step 4: Simplify right side
    2,940.02x = 8,321,263.86
  5. Step 5: Solve for x
    x = 8,321,263.86/2,940.02
  6. Step 6: Final answer
    x = 2,830.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.