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Finding the Fourth Proportional to 2,073.69, 3,109.61 and 840.76

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Solution

The fourth proportional to 2,073.69, 3,109.61 and 840.76 is: 1,260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.69 : 3,109.61 = 840.76 : x
  2. Step 2: Convert to fraction form
    2,073.69/3,109.61 = 840.76/x
  3. Step 3: Cross multiply
    2,073.69x = 3,109.61 × 840.76
  4. Step 4: Simplify right side
    2,073.69x = 2,614,435.70
  5. Step 5: Solve for x
    x = 2,614,435.70/2,073.69
  6. Step 6: Final answer
    x = 1,260.76

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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.