Home / 1,923.28-2,884.21-690.36

Finding the Fourth Proportional to 1,923.28, 2,884.21 and 690.36

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Solution

The fourth proportional to 1,923.28, 2,884.21 and 690.36 is: 1,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.28 : 2,884.21 = 690.36 : x
  2. Step 2: Convert to fraction form
    1,923.28/2,884.21 = 690.36/x
  3. Step 3: Cross multiply
    1,923.28x = 2,884.21 × 690.36
  4. Step 4: Simplify right side
    1,923.28x = 1,991,130.67
  5. Step 5: Solve for x
    x = 1,991,130.67/1,923.28
  6. Step 6: Final answer
    x = 1,035.28

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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.