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Finding the Fourth Proportional to 2,588.53, 3,881.30 and 1,767.80

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Solution

The fourth proportional to 2,588.53, 3,881.30 and 1,767.80 is: 2,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.53 : 3,881.30 = 1,767.80 : x
  2. Step 2: Convert to fraction form
    2,588.53/3,881.30 = 1,767.80/x
  3. Step 3: Cross multiply
    2,588.53x = 3,881.30 × 1,767.80
  4. Step 4: Simplify right side
    2,588.53x = 6,861,333.89
  5. Step 5: Solve for x
    x = 6,861,333.89/2,588.53
  6. Step 6: Final answer
    x = 2,650.67

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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.