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Finding the Fourth Proportional to 1,225.85, 1,841.14 and 1,050.54

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Solution

The fourth proportional to 1,225.85, 1,841.14 and 1,050.54 is: 1,577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.85 : 1,841.14 = 1,050.54 : x
  2. Step 2: Convert to fraction form
    1,225.85/1,841.14 = 1,050.54/x
  3. Step 3: Cross multiply
    1,225.85x = 1,841.14 × 1,050.54
  4. Step 4: Simplify right side
    1,225.85x = 1,934,191.22
  5. Step 5: Solve for x
    x = 1,934,191.22/1,225.85
  6. Step 6: Final answer
    x = 1,577.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.