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Finding the Fourth Proportional to 2,260.50, 3,119.52 and 1,329

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Solution

The fourth proportional to 2,260.50, 3,119.52 and 1,329 is: 1,834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.50 : 3,119.52 = 1,329 : x
  2. Step 2: Convert to fraction form
    2,260.50/3,119.52 = 1,329/x
  3. Step 3: Cross multiply
    2,260.50x = 3,119.52 × 1,329
  4. Step 4: Simplify right side
    2,260.50x = 4,145,842.08
  5. Step 5: Solve for x
    x = 4,145,842.08/2,260.50
  6. Step 6: Final answer
    x = 1,834.04

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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.