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Finding the Fourth Proportional to 2,968.40, 4,452.20 and 777.29

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Solution

The fourth proportional to 2,968.40, 4,452.20 and 777.29 is: 1,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.40 : 4,452.20 = 777.29 : x
  2. Step 2: Convert to fraction form
    2,968.40/4,452.20 = 777.29/x
  3. Step 3: Cross multiply
    2,968.40x = 4,452.20 × 777.29
  4. Step 4: Simplify right side
    2,968.40x = 3,460,624.39
  5. Step 5: Solve for x
    x = 3,460,624.39/2,968.40
  6. Step 6: Final answer
    x = 1,165.82

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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.