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Finding the Fourth Proportional to 2,854.23, 3,940.16 and 1,807.71

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Solution

The fourth proportional to 2,854.23, 3,940.16 and 1,807.71 is: 2,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.23 : 3,940.16 = 1,807.71 : x
  2. Step 2: Convert to fraction form
    2,854.23/3,940.16 = 1,807.71/x
  3. Step 3: Cross multiply
    2,854.23x = 3,940.16 × 1,807.71
  4. Step 4: Simplify right side
    2,854.23x = 7,122,657.60
  5. Step 5: Solve for x
    x = 7,122,657.60/2,854.23
  6. Step 6: Final answer
    x = 2,495.47

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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.