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Finding the Fourth Proportional to 2,076.60, 3,114.90 and 1,957.80

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Solution

The fourth proportional to 2,076.60, 3,114.90 and 1,957.80 is: 2,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.60 : 3,114.90 = 1,957.80 : x
  2. Step 2: Convert to fraction form
    2,076.60/3,114.90 = 1,957.80/x
  3. Step 3: Cross multiply
    2,076.60x = 3,114.90 × 1,957.80
  4. Step 4: Simplify right side
    2,076.60x = 6,098,351.22
  5. Step 5: Solve for x
    x = 6,098,351.22/2,076.60
  6. Step 6: Final answer
    x = 2,936.70

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1.5x scale

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.