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Finding the Fourth Proportional to 1,864.55, 2,794.29 and 709.67

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Solution

The fourth proportional to 1,864.55, 2,794.29 and 709.67 is: 1,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.55 : 2,794.29 = 709.67 : x
  2. Step 2: Convert to fraction form
    1,864.55/2,794.29 = 709.67/x
  3. Step 3: Cross multiply
    1,864.55x = 2,794.29 × 709.67
  4. Step 4: Simplify right side
    1,864.55x = 1,983,023.78
  5. Step 5: Solve for x
    x = 1,983,023.78/1,864.55
  6. Step 6: Final answer
    x = 1,063.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.