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Finding the Fourth Proportional to 2,344.25, 3,516.29 and 589.27

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Solution

The fourth proportional to 2,344.25, 3,516.29 and 589.27 is: 883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.25 : 3,516.29 = 589.27 : x
  2. Step 2: Convert to fraction form
    2,344.25/3,516.29 = 589.27/x
  3. Step 3: Cross multiply
    2,344.25x = 3,516.29 × 589.27
  4. Step 4: Simplify right side
    2,344.25x = 2,072,041.26
  5. Step 5: Solve for x
    x = 2,072,041.26/2,344.25
  6. Step 6: Final answer
    x = 883.88

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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.