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Finding the Fourth Proportional to 2,894.07, 3,996.77 and 2,494.95

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Solution

The fourth proportional to 2,894.07, 3,996.77 and 2,494.95 is: 3,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.07 : 3,996.77 = 2,494.95 : x
  2. Step 2: Convert to fraction form
    2,894.07/3,996.77 = 2,494.95/x
  3. Step 3: Cross multiply
    2,894.07x = 3,996.77 × 2,494.95
  4. Step 4: Simplify right side
    2,894.07x = 9,971,741.31
  5. Step 5: Solve for x
    x = 9,971,741.31/2,894.07
  6. Step 6: Final answer
    x = 3,445.58

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