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Finding the Fourth Proportional to 2,811.76, 4,217.70 and 965

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Solution

The fourth proportional to 2,811.76, 4,217.70 and 965 is: 1,447.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.76 : 4,217.70 = 965 : x
  2. Step 2: Convert to fraction form
    2,811.76/4,217.70 = 965/x
  3. Step 3: Cross multiply
    2,811.76x = 4,217.70 × 965
  4. Step 4: Simplify right side
    2,811.76x = 4,070,080.50
  5. Step 5: Solve for x
    x = 4,070,080.50/2,811.76
  6. Step 6: Final answer
    x = 1,447.52

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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.