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Finding the Fourth Proportional to 2,661.28, 3,673.20 and 1,834.72

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Solution

The fourth proportional to 2,661.28, 3,673.20 and 1,834.72 is: 2,532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.28 : 3,673.20 = 1,834.72 : x
  2. Step 2: Convert to fraction form
    2,661.28/3,673.20 = 1,834.72/x
  3. Step 3: Cross multiply
    2,661.28x = 3,673.20 × 1,834.72
  4. Step 4: Simplify right side
    2,661.28x = 6,739,293.50
  5. Step 5: Solve for x
    x = 6,739,293.50/2,661.28
  6. Step 6: Final answer
    x = 2,532.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.