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Finding the Fourth Proportional to 2,344.84, 3,516.85 and 884.00

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Solution

The fourth proportional to 2,344.84, 3,516.85 and 884.00 is: 1,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.84 : 3,516.85 = 884.00 : x
  2. Step 2: Convert to fraction form
    2,344.84/3,516.85 = 884.00/x
  3. Step 3: Cross multiply
    2,344.84x = 3,516.85 × 884.00
  4. Step 4: Simplify right side
    2,344.84x = 3,108,905.30
  5. Step 5: Solve for x
    x = 3,108,905.30/2,344.84
  6. Step 6: Final answer
    x = 1,325.85

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Why These Related Problems?

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