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Finding the Fourth Proportional to 2,816.60, 3,890.04 and 2,378.12

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Solution

The fourth proportional to 2,816.60, 3,890.04 and 2,378.12 is: 3,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.60 : 3,890.04 = 2,378.12 : x
  2. Step 2: Convert to fraction form
    2,816.60/3,890.04 = 2,378.12/x
  3. Step 3: Cross multiply
    2,816.60x = 3,890.04 × 2,378.12
  4. Step 4: Simplify right side
    2,816.60x = 9,250,981.92
  5. Step 5: Solve for x
    x = 9,250,981.92/2,816.60
  6. Step 6: Final answer
    x = 3,284.45

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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.