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Finding the Fourth Proportional to 2,028.58, 3,042.13 and 988.27

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Solution

The fourth proportional to 2,028.58, 3,042.13 and 988.27 is: 1,482.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.58 : 3,042.13 = 988.27 : x
  2. Step 2: Convert to fraction form
    2,028.58/3,042.13 = 988.27/x
  3. Step 3: Cross multiply
    2,028.58x = 3,042.13 × 988.27
  4. Step 4: Simplify right side
    2,028.58x = 3,006,445.82
  5. Step 5: Solve for x
    x = 3,006,445.82/2,028.58
  6. Step 6: Final answer
    x = 1,482.04

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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.