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Finding the Fourth Proportional to 1,989.51, 2,984.29 and 1,016.30

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Solution

The fourth proportional to 1,989.51, 2,984.29 and 1,016.30 is: 1,524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.51 : 2,984.29 = 1,016.30 : x
  2. Step 2: Convert to fraction form
    1,989.51/2,984.29 = 1,016.30/x
  3. Step 3: Cross multiply
    1,989.51x = 2,984.29 × 1,016.30
  4. Step 4: Simplify right side
    1,989.51x = 3,032,927.66
  5. Step 5: Solve for x
    x = 3,032,927.66/1,989.51
  6. Step 6: Final answer
    x = 1,524.46

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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.