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Finding the Fourth Proportional to 1,437.67, 1,982.64 and 1,018.09

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Solution

The fourth proportional to 1,437.67, 1,982.64 and 1,018.09 is: 1,404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.67 : 1,982.64 = 1,018.09 : x
  2. Step 2: Convert to fraction form
    1,437.67/1,982.64 = 1,018.09/x
  3. Step 3: Cross multiply
    1,437.67x = 1,982.64 × 1,018.09
  4. Step 4: Simplify right side
    1,437.67x = 2,018,505.96
  5. Step 5: Solve for x
    x = 2,018,505.96/1,437.67
  6. Step 6: Final answer
    x = 1,404.01

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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.