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Finding the Fourth Proportional to 1,874.74, 2,810.04 and 1,181.92

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Solution

The fourth proportional to 1,874.74, 2,810.04 and 1,181.92 is: 1,771.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.74 : 2,810.04 = 1,181.92 : x
  2. Step 2: Convert to fraction form
    1,874.74/2,810.04 = 1,181.92/x
  3. Step 3: Cross multiply
    1,874.74x = 2,810.04 × 1,181.92
  4. Step 4: Simplify right side
    1,874.74x = 3,321,242.48
  5. Step 5: Solve for x
    x = 3,321,242.48/1,874.74
  6. Step 6: Final answer
    x = 1,771.57

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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.