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Finding the Fourth Proportional to 1,608.02, 2,218.71 and 1,019.30

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Solution

The fourth proportional to 1,608.02, 2,218.71 and 1,019.30 is: 1,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.02 : 2,218.71 = 1,019.30 : x
  2. Step 2: Convert to fraction form
    1,608.02/2,218.71 = 1,019.30/x
  3. Step 3: Cross multiply
    1,608.02x = 2,218.71 × 1,019.30
  4. Step 4: Simplify right side
    1,608.02x = 2,261,531.10
  5. Step 5: Solve for x
    x = 2,261,531.10/1,608.02
  6. Step 6: Final answer
    x = 1,406.41

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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.