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Finding the Fourth Proportional to 1,989.56, 2,988.75 and 1,297.32

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Solution

The fourth proportional to 1,989.56, 2,988.75 and 1,297.32 is: 1,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.56 : 2,988.75 = 1,297.32 : x
  2. Step 2: Convert to fraction form
    1,989.56/2,988.75 = 1,297.32/x
  3. Step 3: Cross multiply
    1,989.56x = 2,988.75 × 1,297.32
  4. Step 4: Simplify right side
    1,989.56x = 3,877,351.51
  5. Step 5: Solve for x
    x = 3,877,351.51/1,989.56
  6. Step 6: Final answer
    x = 1,948.85

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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.