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Finding the Fourth Proportional to 2,026.01, 3,036.25 and 983.95

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Solution

The fourth proportional to 2,026.01, 3,036.25 and 983.95 is: 1,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.01 : 3,036.25 = 983.95 : x
  2. Step 2: Convert to fraction form
    2,026.01/3,036.25 = 983.95/x
  3. Step 3: Cross multiply
    2,026.01x = 3,036.25 × 983.95
  4. Step 4: Simplify right side
    2,026.01x = 2,987,511.83
  5. Step 5: Solve for x
    x = 2,987,511.83/2,026.01
  6. Step 6: Final answer
    x = 1,474.58

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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.