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Finding the Fourth Proportional to 1,794.87, 2,690.69 and 1,023.75

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Solution

The fourth proportional to 1,794.87, 2,690.69 and 1,023.75 is: 1,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.87 : 2,690.69 = 1,023.75 : x
  2. Step 2: Convert to fraction form
    1,794.87/2,690.69 = 1,023.75/x
  3. Step 3: Cross multiply
    1,794.87x = 2,690.69 × 1,023.75
  4. Step 4: Simplify right side
    1,794.87x = 2,754,588.77
  5. Step 5: Solve for x
    x = 2,754,588.77/1,794.87
  6. Step 6: Final answer
    x = 1,534.70

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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.