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Finding the Fourth Proportional to 2,804.10, 3,870.63 and 1,922.82

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Solution

The fourth proportional to 2,804.10, 3,870.63 and 1,922.82 is: 2,654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.10 : 3,870.63 = 1,922.82 : x
  2. Step 2: Convert to fraction form
    2,804.10/3,870.63 = 1,922.82/x
  3. Step 3: Cross multiply
    2,804.10x = 3,870.63 × 1,922.82
  4. Step 4: Simplify right side
    2,804.10x = 7,442,524.78
  5. Step 5: Solve for x
    x = 7,442,524.78/2,804.10
  6. Step 6: Final answer
    x = 2,654.16

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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.