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Finding the Fourth Proportional to 2,373.96, 3,276.18 and 1,326

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Solution

The fourth proportional to 2,373.96, 3,276.18 and 1,326 is: 1,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.96 : 3,276.18 = 1,326 : x
  2. Step 2: Convert to fraction form
    2,373.96/3,276.18 = 1,326/x
  3. Step 3: Cross multiply
    2,373.96x = 3,276.18 × 1,326
  4. Step 4: Simplify right side
    2,373.96x = 4,344,214.68
  5. Step 5: Solve for x
    x = 4,344,214.68/2,373.96
  6. Step 6: Final answer
    x = 1,829.94

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Why These Related Problems?

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