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Finding the Fourth Proportional to 1,861.22, 2,567.06 and 1,363.68

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Solution

The fourth proportional to 1,861.22, 2,567.06 and 1,363.68 is: 1,880.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.22 : 2,567.06 = 1,363.68 : x
  2. Step 2: Convert to fraction form
    1,861.22/2,567.06 = 1,363.68/x
  3. Step 3: Cross multiply
    1,861.22x = 2,567.06 × 1,363.68
  4. Step 4: Simplify right side
    1,861.22x = 3,500,648.38
  5. Step 5: Solve for x
    x = 3,500,648.38/1,861.22
  6. Step 6: Final answer
    x = 1,880.84

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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.