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Finding the Fourth Proportional to 1,380.29, 2,071.25 and 989.87

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Solution

The fourth proportional to 1,380.29, 2,071.25 and 989.87 is: 1,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.29 : 2,071.25 = 989.87 : x
  2. Step 2: Convert to fraction form
    1,380.29/2,071.25 = 989.87/x
  3. Step 3: Cross multiply
    1,380.29x = 2,071.25 × 989.87
  4. Step 4: Simplify right side
    1,380.29x = 2,050,263.29
  5. Step 5: Solve for x
    x = 2,050,263.29/1,380.29
  6. Step 6: Final answer
    x = 1,485.39

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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.