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Finding the Fourth Proportional to 2,246.98, 3,370.74 and 766.45

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Solution

The fourth proportional to 2,246.98, 3,370.74 and 766.45 is: 1,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.98 : 3,370.74 = 766.45 : x
  2. Step 2: Convert to fraction form
    2,246.98/3,370.74 = 766.45/x
  3. Step 3: Cross multiply
    2,246.98x = 3,370.74 × 766.45
  4. Step 4: Simplify right side
    2,246.98x = 2,583,503.67
  5. Step 5: Solve for x
    x = 2,583,503.67/2,246.98
  6. Step 6: Final answer
    x = 1,149.77

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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.