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Finding the Fourth Proportional to 1,786.42, 2,677.74 and 861.40

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Solution

The fourth proportional to 1,786.42, 2,677.74 and 861.40 is: 1,291.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.42 : 2,677.74 = 861.40 : x
  2. Step 2: Convert to fraction form
    1,786.42/2,677.74 = 861.40/x
  3. Step 3: Cross multiply
    1,786.42x = 2,677.74 × 861.40
  4. Step 4: Simplify right side
    1,786.42x = 2,306,605.24
  5. Step 5: Solve for x
    x = 2,306,605.24/1,786.42
  6. Step 6: Final answer
    x = 1,291.19

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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.