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Finding the Fourth Proportional to 2,690.55, 4,035.83 and 841.67

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Solution

The fourth proportional to 2,690.55, 4,035.83 and 841.67 is: 1,262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.55 : 4,035.83 = 841.67 : x
  2. Step 2: Convert to fraction form
    2,690.55/4,035.83 = 841.67/x
  3. Step 3: Cross multiply
    2,690.55x = 4,035.83 × 841.67
  4. Step 4: Simplify right side
    2,690.55x = 3,396,855.22
  5. Step 5: Solve for x
    x = 3,396,855.22/2,690.55
  6. Step 6: Final answer
    x = 1,262.51

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1.5x scale

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.