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Finding the Fourth Proportional to 1,541.16, 2,113.02 and 1,513.41

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Solution

The fourth proportional to 1,541.16, 2,113.02 and 1,513.41 is: 2,074.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.16 : 2,113.02 = 1,513.41 : x
  2. Step 2: Convert to fraction form
    1,541.16/2,113.02 = 1,513.41/x
  3. Step 3: Cross multiply
    1,541.16x = 2,113.02 × 1,513.41
  4. Step 4: Simplify right side
    1,541.16x = 3,197,865.60
  5. Step 5: Solve for x
    x = 3,197,865.60/1,541.16
  6. Step 6: Final answer
    x = 2,074.97

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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.