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Finding the Fourth Proportional to 2,420.04, 3,629.34 and 880.68

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Solution

The fourth proportional to 2,420.04, 3,629.34 and 880.68 is: 1,320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.04 : 3,629.34 = 880.68 : x
  2. Step 2: Convert to fraction form
    2,420.04/3,629.34 = 880.68/x
  3. Step 3: Cross multiply
    2,420.04x = 3,629.34 × 880.68
  4. Step 4: Simplify right side
    2,420.04x = 3,196,287.15
  5. Step 5: Solve for x
    x = 3,196,287.15/2,420.04
  6. Step 6: Final answer
    x = 1,320.76

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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.