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Finding the Fourth Proportional to 1,581.74, 2,183.03 and 1,533.34

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Solution

The fourth proportional to 1,581.74, 2,183.03 and 1,533.34 is: 2,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.74 : 2,183.03 = 1,533.34 : x
  2. Step 2: Convert to fraction form
    1,581.74/2,183.03 = 1,533.34/x
  3. Step 3: Cross multiply
    1,581.74x = 2,183.03 × 1,533.34
  4. Step 4: Simplify right side
    1,581.74x = 3,347,336.66
  5. Step 5: Solve for x
    x = 3,347,336.66/1,581.74
  6. Step 6: Final answer
    x = 2,116.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.