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Finding the Fourth Proportional to 2,010.96, 3,014.04 and 1,145.84

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Solution

The fourth proportional to 2,010.96, 3,014.04 and 1,145.84 is: 1,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.96 : 3,014.04 = 1,145.84 : x
  2. Step 2: Convert to fraction form
    2,010.96/3,014.04 = 1,145.84/x
  3. Step 3: Cross multiply
    2,010.96x = 3,014.04 × 1,145.84
  4. Step 4: Simplify right side
    2,010.96x = 3,453,607.59
  5. Step 5: Solve for x
    x = 3,453,607.59/2,010.96
  6. Step 6: Final answer
    x = 1,717.39

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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.