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Finding the Fourth Proportional to 2,884.57, 4,326.46 and 1,035.43

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Solution

The fourth proportional to 2,884.57, 4,326.46 and 1,035.43 is: 1,553.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.57 : 4,326.46 = 1,035.43 : x
  2. Step 2: Convert to fraction form
    2,884.57/4,326.46 = 1,035.43/x
  3. Step 3: Cross multiply
    2,884.57x = 4,326.46 × 1,035.43
  4. Step 4: Simplify right side
    2,884.57x = 4,479,733.07
  5. Step 5: Solve for x
    x = 4,479,733.07/2,884.57
  6. Step 6: Final answer
    x = 1,553.00

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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.