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Finding the Fourth Proportional to 2,012.84, 3,020.14 and 1,039.64

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Solution

The fourth proportional to 2,012.84, 3,020.14 and 1,039.64 is: 1,559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.84 : 3,020.14 = 1,039.64 : x
  2. Step 2: Convert to fraction form
    2,012.84/3,020.14 = 1,039.64/x
  3. Step 3: Cross multiply
    2,012.84x = 3,020.14 × 1,039.64
  4. Step 4: Simplify right side
    2,012.84x = 3,139,858.35
  5. Step 5: Solve for x
    x = 3,139,858.35/2,012.84
  6. Step 6: Final answer
    x = 1,559.91

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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.