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Finding the Fourth Proportional to 1,786.04, 2,464.89 and 1,000.25

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Solution

The fourth proportional to 1,786.04, 2,464.89 and 1,000.25 is: 1,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.04 : 2,464.89 = 1,000.25 : x
  2. Step 2: Convert to fraction form
    1,786.04/2,464.89 = 1,000.25/x
  3. Step 3: Cross multiply
    1,786.04x = 2,464.89 × 1,000.25
  4. Step 4: Simplify right side
    1,786.04x = 2,465,506.22
  5. Step 5: Solve for x
    x = 2,465,506.22/1,786.04
  6. Step 6: Final answer
    x = 1,380.43

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1.5x scale

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.