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Finding the Fourth Proportional to 2,010.34, 3,016.05 and 840.88

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Solution

The fourth proportional to 2,010.34, 3,016.05 and 840.88 is: 1,261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.34 : 3,016.05 = 840.88 : x
  2. Step 2: Convert to fraction form
    2,010.34/3,016.05 = 840.88/x
  3. Step 3: Cross multiply
    2,010.34x = 3,016.05 × 840.88
  4. Step 4: Simplify right side
    2,010.34x = 2,536,136.12
  5. Step 5: Solve for x
    x = 2,536,136.12/2,010.34
  6. Step 6: Final answer
    x = 1,261.55

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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.