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Finding the Fourth Proportional to 1,923.15, 2,884.67 and 690.63

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Solution

The fourth proportional to 1,923.15, 2,884.67 and 690.63 is: 1,035.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.15 : 2,884.67 = 690.63 : x
  2. Step 2: Convert to fraction form
    1,923.15/2,884.67 = 690.63/x
  3. Step 3: Cross multiply
    1,923.15x = 2,884.67 × 690.63
  4. Step 4: Simplify right side
    1,923.15x = 1,992,236.19
  5. Step 5: Solve for x
    x = 1,992,236.19/1,923.15
  6. Step 6: Final answer
    x = 1,035.92

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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.