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Finding the Fourth Proportional to 2,804.90, 3,870.57 and 1,685.17

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Solution

The fourth proportional to 2,804.90, 3,870.57 and 1,685.17 is: 2,325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.90 : 3,870.57 = 1,685.17 : x
  2. Step 2: Convert to fraction form
    2,804.90/3,870.57 = 1,685.17/x
  3. Step 3: Cross multiply
    2,804.90x = 3,870.57 × 1,685.17
  4. Step 4: Simplify right side
    2,804.90x = 6,522,558.77
  5. Step 5: Solve for x
    x = 6,522,558.77/2,804.90
  6. Step 6: Final answer
    x = 2,325.42

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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.