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Finding the Fourth Proportional to 2,108.55, 3,162.68 and 647.64

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Solution

The fourth proportional to 2,108.55, 3,162.68 and 647.64 is: 971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.55 : 3,162.68 = 647.64 : x
  2. Step 2: Convert to fraction form
    2,108.55/3,162.68 = 647.64/x
  3. Step 3: Cross multiply
    2,108.55x = 3,162.68 × 647.64
  4. Step 4: Simplify right side
    2,108.55x = 2,048,274.84
  5. Step 5: Solve for x
    x = 2,048,274.84/2,108.55
  6. Step 6: Final answer
    x = 971.41

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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.