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Finding the Fourth Proportional to 2,026.63, 3,038.39 and 985.83

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Solution

The fourth proportional to 2,026.63, 3,038.39 and 985.83 is: 1,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.63 : 3,038.39 = 985.83 : x
  2. Step 2: Convert to fraction form
    2,026.63/3,038.39 = 985.83/x
  3. Step 3: Cross multiply
    2,026.63x = 3,038.39 × 985.83
  4. Step 4: Simplify right side
    2,026.63x = 2,995,336.01
  5. Step 5: Solve for x
    x = 2,995,336.01/2,026.63
  6. Step 6: Final answer
    x = 1,477.99

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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.