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Finding the Fourth Proportional to 1,806.40, 2,711.12 and 1,260.96

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Solution

The fourth proportional to 1,806.40, 2,711.12 and 1,260.96 is: 1,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.40 : 2,711.12 = 1,260.96 : x
  2. Step 2: Convert to fraction form
    1,806.40/2,711.12 = 1,260.96/x
  3. Step 3: Cross multiply
    1,806.40x = 2,711.12 × 1,260.96
  4. Step 4: Simplify right side
    1,806.40x = 3,418,613.88
  5. Step 5: Solve for x
    x = 3,418,613.88/1,806.40
  6. Step 6: Final answer
    x = 1,892.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.