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Finding the Fourth Proportional to 1,970.45, 2,722.84 and 1,438.43

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Solution

The fourth proportional to 1,970.45, 2,722.84 and 1,438.43 is: 1,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.45 : 2,722.84 = 1,438.43 : x
  2. Step 2: Convert to fraction form
    1,970.45/2,722.84 = 1,438.43/x
  3. Step 3: Cross multiply
    1,970.45x = 2,722.84 × 1,438.43
  4. Step 4: Simplify right side
    1,970.45x = 3,916,597.53
  5. Step 5: Solve for x
    x = 3,916,597.53/1,970.45
  6. Step 6: Final answer
    x = 1,987.67

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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.