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Finding the Fourth Proportional to 2,344.16, 3,516.14 and 589.17

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Solution

The fourth proportional to 2,344.16, 3,516.14 and 589.17 is: 883.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.16 : 3,516.14 = 589.17 : x
  2. Step 2: Convert to fraction form
    2,344.16/3,516.14 = 589.17/x
  3. Step 3: Cross multiply
    2,344.16x = 3,516.14 × 589.17
  4. Step 4: Simplify right side
    2,344.16x = 2,071,604.20
  5. Step 5: Solve for x
    x = 2,071,604.20/2,344.16
  6. Step 6: Final answer
    x = 883.73

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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.