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Finding the Fourth Proportional to 1,748.89, 2,623.94 and 775.67

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Solution

The fourth proportional to 1,748.89, 2,623.94 and 775.67 is: 1,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.89 : 2,623.94 = 775.67 : x
  2. Step 2: Convert to fraction form
    1,748.89/2,623.94 = 775.67/x
  3. Step 3: Cross multiply
    1,748.89x = 2,623.94 × 775.67
  4. Step 4: Simplify right side
    1,748.89x = 2,035,307.66
  5. Step 5: Solve for x
    x = 2,035,307.66/1,748.89
  6. Step 6: Final answer
    x = 1,163.77

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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.