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Finding the Fourth Proportional to 2,775.60, 3,804.30 and 2,756.40

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Solution

The fourth proportional to 2,775.60, 3,804.30 and 2,756.40 is: 3,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.60 : 3,804.30 = 2,756.40 : x
  2. Step 2: Convert to fraction form
    2,775.60/3,804.30 = 2,756.40/x
  3. Step 3: Cross multiply
    2,775.60x = 3,804.30 × 2,756.40
  4. Step 4: Simplify right side
    2,775.60x = 10,486,172.52
  5. Step 5: Solve for x
    x = 10,486,172.52/2,775.60
  6. Step 6: Final answer
    x = 3,777.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.