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Finding the Fourth Proportional to 2,010.03, 3,015.35 and 914.40

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Solution

The fourth proportional to 2,010.03, 3,015.35 and 914.40 is: 1,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.03 : 3,015.35 = 914.40 : x
  2. Step 2: Convert to fraction form
    2,010.03/3,015.35 = 914.40/x
  3. Step 3: Cross multiply
    2,010.03x = 3,015.35 × 914.40
  4. Step 4: Simplify right side
    2,010.03x = 2,757,231.47
  5. Step 5: Solve for x
    x = 2,757,231.47/2,010.03
  6. Step 6: Final answer
    x = 1,371.74

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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.