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Finding the Fourth Proportional to 2,804.72, 3,870.16 and 1,685.48

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Solution

The fourth proportional to 2,804.72, 3,870.16 and 1,685.48 is: 2,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.72 : 3,870.16 = 1,685.48 : x
  2. Step 2: Convert to fraction form
    2,804.72/3,870.16 = 1,685.48/x
  3. Step 3: Cross multiply
    2,804.72x = 3,870.16 × 1,685.48
  4. Step 4: Simplify right side
    2,804.72x = 6,523,077.28
  5. Step 5: Solve for x
    x = 6,523,077.28/2,804.72
  6. Step 6: Final answer
    x = 2,325.75

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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.