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Finding the Fourth Proportional to 2,011.70, 3,016.74 and 840.94

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Solution

The fourth proportional to 2,011.70, 3,016.74 and 840.94 is: 1,261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.70 : 3,016.74 = 840.94 : x
  2. Step 2: Convert to fraction form
    2,011.70/3,016.74 = 840.94/x
  3. Step 3: Cross multiply
    2,011.70x = 3,016.74 × 840.94
  4. Step 4: Simplify right side
    2,011.70x = 2,536,897.34
  5. Step 5: Solve for x
    x = 2,536,897.34/2,011.70
  6. Step 6: Final answer
    x = 1,261.07

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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.