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Finding the Fourth Proportional to 2,804.52, 3,870.04 and 1,685.50

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Solution

The fourth proportional to 2,804.52, 3,870.04 and 1,685.50 is: 2,325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.52 : 3,870.04 = 1,685.50 : x
  2. Step 2: Convert to fraction form
    2,804.52/3,870.04 = 1,685.50/x
  3. Step 3: Cross multiply
    2,804.52x = 3,870.04 × 1,685.50
  4. Step 4: Simplify right side
    2,804.52x = 6,522,952.42
  5. Step 5: Solve for x
    x = 6,522,952.42/2,804.52
  6. Step 6: Final answer
    x = 2,325.87

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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.