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Finding the Fourth Proportional to 2,810.90, 4,221.15 and 1,841.30

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Solution

The fourth proportional to 2,810.90, 4,221.15 and 1,841.30 is: 2,765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.90 : 4,221.15 = 1,841.30 : x
  2. Step 2: Convert to fraction form
    2,810.90/4,221.15 = 1,841.30/x
  3. Step 3: Cross multiply
    2,810.90x = 4,221.15 × 1,841.30
  4. Step 4: Simplify right side
    2,810.90x = 7,772,403.50
  5. Step 5: Solve for x
    x = 7,772,403.50/2,810.90
  6. Step 6: Final answer
    x = 2,765.09

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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.