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Finding the Fourth Proportional to 1,367.62, 2,048.29 and 1,001.50

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Solution

The fourth proportional to 1,367.62, 2,048.29 and 1,001.50 is: 1,499.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.62 : 2,048.29 = 1,001.50 : x
  2. Step 2: Convert to fraction form
    1,367.62/2,048.29 = 1,001.50/x
  3. Step 3: Cross multiply
    1,367.62x = 2,048.29 × 1,001.50
  4. Step 4: Simplify right side
    1,367.62x = 2,051,362.44
  5. Step 5: Solve for x
    x = 2,051,362.44/1,367.62
  6. Step 6: Final answer
    x = 1,499.95

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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.