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Finding the Fourth Proportional to 2,750.60, 4,125.90 and 1,777.80

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Solution

The fourth proportional to 2,750.60, 4,125.90 and 1,777.80 is: 2,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.60 : 4,125.90 = 1,777.80 : x
  2. Step 2: Convert to fraction form
    2,750.60/4,125.90 = 1,777.80/x
  3. Step 3: Cross multiply
    2,750.60x = 4,125.90 × 1,777.80
  4. Step 4: Simplify right side
    2,750.60x = 7,335,025.02
  5. Step 5: Solve for x
    x = 7,335,025.02/2,750.60
  6. Step 6: Final answer
    x = 2,666.70

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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.