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Finding the Fourth Proportional to 1,951.36, 2,923.90 and 1,559.32

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Solution

The fourth proportional to 1,951.36, 2,923.90 and 1,559.32 is: 2,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.36 : 2,923.90 = 1,559.32 : x
  2. Step 2: Convert to fraction form
    1,951.36/2,923.90 = 1,559.32/x
  3. Step 3: Cross multiply
    1,951.36x = 2,923.90 × 1,559.32
  4. Step 4: Simplify right side
    1,951.36x = 4,559,295.75
  5. Step 5: Solve for x
    x = 4,559,295.75/1,951.36
  6. Step 6: Final answer
    x = 2,336.47

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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.