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Finding the Fourth Proportional to 2,076.48, 3,114.60 and 777.86

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Solution

The fourth proportional to 2,076.48, 3,114.60 and 777.86 is: 1,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.48 : 3,114.60 = 777.86 : x
  2. Step 2: Convert to fraction form
    2,076.48/3,114.60 = 777.86/x
  3. Step 3: Cross multiply
    2,076.48x = 3,114.60 × 777.86
  4. Step 4: Simplify right side
    2,076.48x = 2,422,722.76
  5. Step 5: Solve for x
    x = 2,422,722.76/2,076.48
  6. Step 6: Final answer
    x = 1,166.75

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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.