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Finding the Fourth Proportional to 2,053.96, 3,077.49 and 957.62

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Solution

The fourth proportional to 2,053.96, 3,077.49 and 957.62 is: 1,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.96 : 3,077.49 = 957.62 : x
  2. Step 2: Convert to fraction form
    2,053.96/3,077.49 = 957.62/x
  3. Step 3: Cross multiply
    2,053.96x = 3,077.49 × 957.62
  4. Step 4: Simplify right side
    2,053.96x = 2,947,077.26
  5. Step 5: Solve for x
    x = 2,947,077.26/2,053.96
  6. Step 6: Final answer
    x = 1,434.83

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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.