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Finding the Fourth Proportional to 2,010.10, 3,015.60 and 777.40

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Solution

The fourth proportional to 2,010.10, 3,015.60 and 777.40 is: 1,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.10 : 3,015.60 = 777.40 : x
  2. Step 2: Convert to fraction form
    2,010.10/3,015.60 = 777.40/x
  3. Step 3: Cross multiply
    2,010.10x = 3,015.60 × 777.40
  4. Step 4: Simplify right side
    2,010.10x = 2,344,327.44
  5. Step 5: Solve for x
    x = 2,344,327.44/2,010.10
  6. Step 6: Final answer
    x = 1,166.27

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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.