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Finding the Fourth Proportional to 1,513.68, 2,091.12 and 1,016.16

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Solution

The fourth proportional to 1,513.68, 2,091.12 and 1,016.16 is: 1,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.68 : 2,091.12 = 1,016.16 : x
  2. Step 2: Convert to fraction form
    1,513.68/2,091.12 = 1,016.16/x
  3. Step 3: Cross multiply
    1,513.68x = 2,091.12 × 1,016.16
  4. Step 4: Simplify right side
    1,513.68x = 2,124,912.50
  5. Step 5: Solve for x
    x = 2,124,912.50/1,513.68
  6. Step 6: Final answer
    x = 1,403.81

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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.