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Finding the Fourth Proportional to 2,884.36, 4,323.42 and 1,151.08

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Solution

The fourth proportional to 2,884.36, 4,323.42 and 1,151.08 is: 1,725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.36 : 4,323.42 = 1,151.08 : x
  2. Step 2: Convert to fraction form
    2,884.36/4,323.42 = 1,151.08/x
  3. Step 3: Cross multiply
    2,884.36x = 4,323.42 × 1,151.08
  4. Step 4: Simplify right side
    2,884.36x = 4,976,602.29
  5. Step 5: Solve for x
    x = 4,976,602.29/2,884.36
  6. Step 6: Final answer
    x = 1,725.37

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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.