Home / 1,900.64-2,851.20-584.24

Finding the Fourth Proportional to 1,900.64, 2,851.20 and 584.24

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Solution

The fourth proportional to 1,900.64, 2,851.20 and 584.24 is: 876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.64 : 2,851.20 = 584.24 : x
  2. Step 2: Convert to fraction form
    1,900.64/2,851.20 = 584.24/x
  3. Step 3: Cross multiply
    1,900.64x = 2,851.20 × 584.24
  4. Step 4: Simplify right side
    1,900.64x = 1,665,770.83
  5. Step 5: Solve for x
    x = 1,665,770.83/1,900.64
  6. Step 6: Final answer
    x = 876.43

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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.