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Finding the Fourth Proportional to 1,492.83, 2,238.12 and 842.67

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Solution

The fourth proportional to 1,492.83, 2,238.12 and 842.67 is: 1,263.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.83 : 2,238.12 = 842.67 : x
  2. Step 2: Convert to fraction form
    1,492.83/2,238.12 = 842.67/x
  3. Step 3: Cross multiply
    1,492.83x = 2,238.12 × 842.67
  4. Step 4: Simplify right side
    1,492.83x = 1,885,996.58
  5. Step 5: Solve for x
    x = 1,885,996.58/1,492.83
  6. Step 6: Final answer
    x = 1,263.37

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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.