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Finding the Fourth Proportional to 1,989.42, 2,980.29 and 1,532.46

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Solution

The fourth proportional to 1,989.42, 2,980.29 and 1,532.46 is: 2,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.42 : 2,980.29 = 1,532.46 : x
  2. Step 2: Convert to fraction form
    1,989.42/2,980.29 = 1,532.46/x
  3. Step 3: Cross multiply
    1,989.42x = 2,980.29 × 1,532.46
  4. Step 4: Simplify right side
    1,989.42x = 4,567,175.21
  5. Step 5: Solve for x
    x = 4,567,175.21/1,989.42
  6. Step 6: Final answer
    x = 2,295.73

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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.