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Finding the Fourth Proportional to 2,026.12, 3,039 and 1,039.72

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Solution

The fourth proportional to 2,026.12, 3,039 and 1,039.72 is: 1,559.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.12 : 3,039 = 1,039.72 : x
  2. Step 2: Convert to fraction form
    2,026.12/3,039 = 1,039.72/x
  3. Step 3: Cross multiply
    2,026.12x = 3,039 × 1,039.72
  4. Step 4: Simplify right side
    2,026.12x = 3,159,709.08
  5. Step 5: Solve for x
    x = 3,159,709.08/2,026.12
  6. Step 6: Final answer
    x = 1,559.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.