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Finding the Fourth Proportional to 2,012.76, 3,019.04 and 842.51

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Solution

The fourth proportional to 2,012.76, 3,019.04 and 842.51 is: 1,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.76 : 3,019.04 = 842.51 : x
  2. Step 2: Convert to fraction form
    2,012.76/3,019.04 = 842.51/x
  3. Step 3: Cross multiply
    2,012.76x = 3,019.04 × 842.51
  4. Step 4: Simplify right side
    2,012.76x = 2,543,567.18
  5. Step 5: Solve for x
    x = 2,543,567.18/2,012.76
  6. Step 6: Final answer
    x = 1,263.72

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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.