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Finding the Fourth Proportional to 1,846.40, 2,768.18 and 1,436.40

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Solution

The fourth proportional to 1,846.40, 2,768.18 and 1,436.40 is: 2,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.40 : 2,768.18 = 1,436.40 : x
  2. Step 2: Convert to fraction form
    1,846.40/2,768.18 = 1,436.40/x
  3. Step 3: Cross multiply
    1,846.40x = 2,768.18 × 1,436.40
  4. Step 4: Simplify right side
    1,846.40x = 3,976,206.57
  5. Step 5: Solve for x
    x = 3,976,206.57/1,846.40
  6. Step 6: Final answer
    x = 2,153.50

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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.