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Finding the Fourth Proportional to 2,894.73, 4,342.02 and 1,393.41

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Solution

The fourth proportional to 2,894.73, 4,342.02 and 1,393.41 is: 2,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.73 : 4,342.02 = 1,393.41 : x
  2. Step 2: Convert to fraction form
    2,894.73/4,342.02 = 1,393.41/x
  3. Step 3: Cross multiply
    2,894.73x = 4,342.02 × 1,393.41
  4. Step 4: Simplify right side
    2,894.73x = 6,050,214.09
  5. Step 5: Solve for x
    x = 6,050,214.09/2,894.73
  6. Step 6: Final answer
    x = 2,090.08

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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.