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Finding the Fourth Proportional to 2,778.66, 4,166.64 and 830.34

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Solution

The fourth proportional to 2,778.66, 4,166.64 and 830.34 is: 1,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.66 : 4,166.64 = 830.34 : x
  2. Step 2: Convert to fraction form
    2,778.66/4,166.64 = 830.34/x
  3. Step 3: Cross multiply
    2,778.66x = 4,166.64 × 830.34
  4. Step 4: Simplify right side
    2,778.66x = 3,459,727.86
  5. Step 5: Solve for x
    x = 3,459,727.86/2,778.66
  6. Step 6: Final answer
    x = 1,245.11

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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.