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Finding the Fourth Proportional to 1,835.22, 2,750.13 and 1,446.15

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Solution

The fourth proportional to 1,835.22, 2,750.13 and 1,446.15 is: 2,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.22 : 2,750.13 = 1,446.15 : x
  2. Step 2: Convert to fraction form
    1,835.22/2,750.13 = 1,446.15/x
  3. Step 3: Cross multiply
    1,835.22x = 2,750.13 × 1,446.15
  4. Step 4: Simplify right side
    1,835.22x = 3,977,100.50
  5. Step 5: Solve for x
    x = 3,977,100.50/1,835.22
  6. Step 6: Final answer
    x = 2,167.10

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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.