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Finding the Fourth Proportional to 2,697, 3,721.86 and 1,649.76

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Solution

The fourth proportional to 2,697, 3,721.86 and 1,649.76 is: 2,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697 : 3,721.86 = 1,649.76 : x
  2. Step 2: Convert to fraction form
    2,697/3,721.86 = 1,649.76/x
  3. Step 3: Cross multiply
    2,697x = 3,721.86 × 1,649.76
  4. Step 4: Simplify right side
    2,697x = 6,140,175.75
  5. Step 5: Solve for x
    x = 6,140,175.75/2,697
  6. Step 6: Final answer
    x = 2,276.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.