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Finding the Fourth Proportional to 1,333.90, 1,842.43 and 942.67

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Solution

The fourth proportional to 1,333.90, 1,842.43 and 942.67 is: 1,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.90 : 1,842.43 = 942.67 : x
  2. Step 2: Convert to fraction form
    1,333.90/1,842.43 = 942.67/x
  3. Step 3: Cross multiply
    1,333.90x = 1,842.43 × 942.67
  4. Step 4: Simplify right side
    1,333.90x = 1,736,794.28
  5. Step 5: Solve for x
    x = 1,736,794.28/1,333.90
  6. Step 6: Final answer
    x = 1,302.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.