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Finding the Fourth Proportional to 2,373.87, 3,276.27 and 1,326

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Solution

The fourth proportional to 2,373.87, 3,276.27 and 1,326 is: 1,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.87 : 3,276.27 = 1,326 : x
  2. Step 2: Convert to fraction form
    2,373.87/3,276.27 = 1,326/x
  3. Step 3: Cross multiply
    2,373.87x = 3,276.27 × 1,326
  4. Step 4: Simplify right side
    2,373.87x = 4,344,334.02
  5. Step 5: Solve for x
    x = 4,344,334.02/2,373.87
  6. Step 6: Final answer
    x = 1,830.06

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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.