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Finding the Fourth Proportional to 2,804.67, 3,870.18 and 1,609.52

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Solution

The fourth proportional to 2,804.67, 3,870.18 and 1,609.52 is: 2,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.67 : 3,870.18 = 1,609.52 : x
  2. Step 2: Convert to fraction form
    2,804.67/3,870.18 = 1,609.52/x
  3. Step 3: Cross multiply
    2,804.67x = 3,870.18 × 1,609.52
  4. Step 4: Simplify right side
    2,804.67x = 6,229,112.76
  5. Step 5: Solve for x
    x = 6,229,112.76/2,804.67
  6. Step 6: Final answer
    x = 2,220.98

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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.