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Finding the Fourth Proportional to 2,034.50, 3,051.75 and 881.06

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Solution

The fourth proportional to 2,034.50, 3,051.75 and 881.06 is: 1,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.50 : 3,051.75 = 881.06 : x
  2. Step 2: Convert to fraction form
    2,034.50/3,051.75 = 881.06/x
  3. Step 3: Cross multiply
    2,034.50x = 3,051.75 × 881.06
  4. Step 4: Simplify right side
    2,034.50x = 2,688,774.86
  5. Step 5: Solve for x
    x = 2,688,774.86/2,034.50
  6. Step 6: Final answer
    x = 1,321.59

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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.