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Finding the Fourth Proportional to 2,420.40, 3,631.16 and 777.04

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Solution

The fourth proportional to 2,420.40, 3,631.16 and 777.04 is: 1,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.40 : 3,631.16 = 777.04 : x
  2. Step 2: Convert to fraction form
    2,420.40/3,631.16 = 777.04/x
  3. Step 3: Cross multiply
    2,420.40x = 3,631.16 × 777.04
  4. Step 4: Simplify right side
    2,420.40x = 2,821,556.57
  5. Step 5: Solve for x
    x = 2,821,556.57/2,420.40
  6. Step 6: Final answer
    x = 1,165.74

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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.