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Finding the Fourth Proportional to 2,026.58, 3,039.13 and 986.27

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Solution

The fourth proportional to 2,026.58, 3,039.13 and 986.27 is: 1,479.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.58 : 3,039.13 = 986.27 : x
  2. Step 2: Convert to fraction form
    2,026.58/3,039.13 = 986.27/x
  3. Step 3: Cross multiply
    2,026.58x = 3,039.13 × 986.27
  4. Step 4: Simplify right side
    2,026.58x = 2,997,397.81
  5. Step 5: Solve for x
    x = 2,997,397.81/2,026.58
  6. Step 6: Final answer
    x = 1,479.04

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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.