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Finding the Fourth Proportional to 3,429.74, 5,144.16 and 1,480.34

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Solution

The fourth proportional to 3,429.74, 5,144.16 and 1,480.34 is: 2,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.74 : 5,144.16 = 1,480.34 : x
  2. Step 2: Convert to fraction form
    3,429.74/5,144.16 = 1,480.34/x
  3. Step 3: Cross multiply
    3,429.74x = 5,144.16 × 1,480.34
  4. Step 4: Simplify right side
    3,429.74x = 7,615,105.81
  5. Step 5: Solve for x
    x = 7,615,105.81/3,429.74
  6. Step 6: Final answer
    x = 2,220.32

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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.