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Finding the Fourth Proportional to 1,786.13, 2,465 and 1,000.29

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Solution

The fourth proportional to 1,786.13, 2,465 and 1,000.29 is: 1,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.13 : 2,465 = 1,000.29 : x
  2. Step 2: Convert to fraction form
    1,786.13/2,465 = 1,000.29/x
  3. Step 3: Cross multiply
    1,786.13x = 2,465 × 1,000.29
  4. Step 4: Simplify right side
    1,786.13x = 2,465,714.85
  5. Step 5: Solve for x
    x = 2,465,714.85/1,786.13
  6. Step 6: Final answer
    x = 1,380.48

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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.