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Finding the Fourth Proportional to 2,026.89, 3,038.35 and 986.85

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Solution

The fourth proportional to 2,026.89, 3,038.35 and 986.85 is: 1,479.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.89 : 3,038.35 = 986.85 : x
  2. Step 2: Convert to fraction form
    2,026.89/3,038.35 = 986.85/x
  3. Step 3: Cross multiply
    2,026.89x = 3,038.35 × 986.85
  4. Step 4: Simplify right side
    2,026.89x = 2,998,395.70
  5. Step 5: Solve for x
    x = 2,998,395.70/2,026.89
  6. Step 6: Final answer
    x = 1,479.31

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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.