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Finding the Fourth Proportional to 1,976.12, 2,955 and 1,243.52

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Solution

The fourth proportional to 1,976.12, 2,955 and 1,243.52 is: 1,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.12 : 2,955 = 1,243.52 : x
  2. Step 2: Convert to fraction form
    1,976.12/2,955 = 1,243.52/x
  3. Step 3: Cross multiply
    1,976.12x = 2,955 × 1,243.52
  4. Step 4: Simplify right side
    1,976.12x = 3,674,601.60
  5. Step 5: Solve for x
    x = 3,674,601.60/1,976.12
  6. Step 6: Final answer
    x = 1,859.50

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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.