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Finding the Fourth Proportional to 1,541.54, 2,113.22 and 1,513.59

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Solution

The fourth proportional to 1,541.54, 2,113.22 and 1,513.59 is: 2,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.54 : 2,113.22 = 1,513.59 : x
  2. Step 2: Convert to fraction form
    1,541.54/2,113.22 = 1,513.59/x
  3. Step 3: Cross multiply
    1,541.54x = 2,113.22 × 1,513.59
  4. Step 4: Simplify right side
    1,541.54x = 3,198,541.09
  5. Step 5: Solve for x
    x = 3,198,541.09/1,541.54
  6. Step 6: Final answer
    x = 2,074.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.