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Finding the Fourth Proportional to 2,854.86, 3,941.55 and 1,794.09

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Solution

The fourth proportional to 2,854.86, 3,941.55 and 1,794.09 is: 2,477.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.86 : 3,941.55 = 1,794.09 : x
  2. Step 2: Convert to fraction form
    2,854.86/3,941.55 = 1,794.09/x
  3. Step 3: Cross multiply
    2,854.86x = 3,941.55 × 1,794.09
  4. Step 4: Simplify right side
    2,854.86x = 7,071,495.44
  5. Step 5: Solve for x
    x = 7,071,495.44/2,854.86
  6. Step 6: Final answer
    x = 2,477.00

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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.