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Finding the Fourth Proportional to 2,968.60, 4,452.77 and 777.28

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Solution

The fourth proportional to 2,968.60, 4,452.77 and 777.28 is: 1,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.60 : 4,452.77 = 777.28 : x
  2. Step 2: Convert to fraction form
    2,968.60/4,452.77 = 777.28/x
  3. Step 3: Cross multiply
    2,968.60x = 4,452.77 × 777.28
  4. Step 4: Simplify right side
    2,968.60x = 3,461,039.88
  5. Step 5: Solve for x
    x = 3,461,039.88/2,968.60
  6. Step 6: Final answer
    x = 1,165.88

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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.