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Finding the Fourth Proportional to 2,010.57, 3,016.35 and 777.64

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Solution

The fourth proportional to 2,010.57, 3,016.35 and 777.64 is: 1,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.57 : 3,016.35 = 777.64 : x
  2. Step 2: Convert to fraction form
    2,010.57/3,016.35 = 777.64/x
  3. Step 3: Cross multiply
    2,010.57x = 3,016.35 × 777.64
  4. Step 4: Simplify right side
    2,010.57x = 2,345,634.41
  5. Step 5: Solve for x
    x = 2,345,634.41/2,010.57
  6. Step 6: Final answer
    x = 1,166.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.