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Finding the Fourth Proportional to 2,010.45, 3,016.18 and 777.53

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Solution

The fourth proportional to 2,010.45, 3,016.18 and 777.53 is: 1,166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.45 : 3,016.18 = 777.53 : x
  2. Step 2: Convert to fraction form
    2,010.45/3,016.18 = 777.53/x
  3. Step 3: Cross multiply
    2,010.45x = 3,016.18 × 777.53
  4. Step 4: Simplify right side
    2,010.45x = 2,345,155.35
  5. Step 5: Solve for x
    x = 2,345,155.35/2,010.45
  6. Step 6: Final answer
    x = 1,166.48

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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.