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Finding the Fourth Proportional to 1,884.36, 2,825.76 and 1,063.08

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Solution

The fourth proportional to 1,884.36, 2,825.76 and 1,063.08 is: 1,594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.36 : 2,825.76 = 1,063.08 : x
  2. Step 2: Convert to fraction form
    1,884.36/2,825.76 = 1,063.08/x
  3. Step 3: Cross multiply
    1,884.36x = 2,825.76 × 1,063.08
  4. Step 4: Simplify right side
    1,884.36x = 3,004,008.94
  5. Step 5: Solve for x
    x = 3,004,008.94/1,884.36
  6. Step 6: Final answer
    x = 1,594.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.