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Finding the Fourth Proportional to 2,105.10, 3,158.10 and 644.40

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Solution

The fourth proportional to 2,105.10, 3,158.10 and 644.40 is: 966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.10 : 3,158.10 = 644.40 : x
  2. Step 2: Convert to fraction form
    2,105.10/3,158.10 = 644.40/x
  3. Step 3: Cross multiply
    2,105.10x = 3,158.10 × 644.40
  4. Step 4: Simplify right side
    2,105.10x = 2,035,079.64
  5. Step 5: Solve for x
    x = 2,035,079.64/2,105.10
  6. Step 6: Final answer
    x = 966.74

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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.