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Finding the Fourth Proportional to 2,023.67, 3,035.20 and 562.50

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Solution

The fourth proportional to 2,023.67, 3,035.20 and 562.50 is: 843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.67 : 3,035.20 = 562.50 : x
  2. Step 2: Convert to fraction form
    2,023.67/3,035.20 = 562.50/x
  3. Step 3: Cross multiply
    2,023.67x = 3,035.20 × 562.50
  4. Step 4: Simplify right side
    2,023.67x = 1,707,300
  5. Step 5: Solve for x
    x = 1,707,300/2,023.67
  6. Step 6: Final answer
    x = 843.67

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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.