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Finding the Fourth Proportional to 1,362.74, 2,043.26 and 631.38

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Solution

The fourth proportional to 1,362.74, 2,043.26 and 631.38 is: 946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.74 : 2,043.26 = 631.38 : x
  2. Step 2: Convert to fraction form
    1,362.74/2,043.26 = 631.38/x
  3. Step 3: Cross multiply
    1,362.74x = 2,043.26 × 631.38
  4. Step 4: Simplify right side
    1,362.74x = 1,290,070.34
  5. Step 5: Solve for x
    x = 1,290,070.34/1,362.74
  6. Step 6: Final answer
    x = 946.67

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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.