Home / 1,786.34-2,464.58-1,000.23

Finding the Fourth Proportional to 1,786.34, 2,464.58 and 1,000.23

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Solution

The fourth proportional to 1,786.34, 2,464.58 and 1,000.23 is: 1,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.34 : 2,464.58 = 1,000.23 : x
  2. Step 2: Convert to fraction form
    1,786.34/2,464.58 = 1,000.23/x
  3. Step 3: Cross multiply
    1,786.34x = 2,464.58 × 1,000.23
  4. Step 4: Simplify right side
    1,786.34x = 2,465,141.85
  5. Step 5: Solve for x
    x = 2,465,141.85/1,786.34
  6. Step 6: Final answer
    x = 1,380.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.