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Finding the Fourth Proportional to 2,905.95, 4,360.50 and 1,262.49

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Solution

The fourth proportional to 2,905.95, 4,360.50 and 1,262.49 is: 1,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.95 : 4,360.50 = 1,262.49 : x
  2. Step 2: Convert to fraction form
    2,905.95/4,360.50 = 1,262.49/x
  3. Step 3: Cross multiply
    2,905.95x = 4,360.50 × 1,262.49
  4. Step 4: Simplify right side
    2,905.95x = 5,505,087.65
  5. Step 5: Solve for x
    x = 5,505,087.65/2,905.95
  6. Step 6: Final answer
    x = 1,894.42

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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.