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Finding the Fourth Proportional to 1,822.10, 2,729.10 and 1,409.90

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Solution

The fourth proportional to 1,822.10, 2,729.10 and 1,409.90 is: 2,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.10 : 2,729.10 = 1,409.90 : x
  2. Step 2: Convert to fraction form
    1,822.10/2,729.10 = 1,409.90/x
  3. Step 3: Cross multiply
    1,822.10x = 2,729.10 × 1,409.90
  4. Step 4: Simplify right side
    1,822.10x = 3,847,758.09
  5. Step 5: Solve for x
    x = 3,847,758.09/1,822.10
  6. Step 6: Final answer
    x = 2,111.72

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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.