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Finding the Fourth Proportional to 3,429.04, 5,142.48 and 1,120

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Solution

The fourth proportional to 3,429.04, 5,142.48 and 1,120 is: 1,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.04 : 5,142.48 = 1,120 : x
  2. Step 2: Convert to fraction form
    3,429.04/5,142.48 = 1,120/x
  3. Step 3: Cross multiply
    3,429.04x = 5,142.48 × 1,120
  4. Step 4: Simplify right side
    3,429.04x = 5,759,577.60
  5. Step 5: Solve for x
    x = 5,759,577.60/3,429.04
  6. Step 6: Final answer
    x = 1,679.65

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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.