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Finding the Fourth Proportional to 2,016.92, 2,782.35 and 1,751.00

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Solution

The fourth proportional to 2,016.92, 2,782.35 and 1,751.00 is: 2,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.92 : 2,782.35 = 1,751.00 : x
  2. Step 2: Convert to fraction form
    2,016.92/2,782.35 = 1,751.00/x
  3. Step 3: Cross multiply
    2,016.92x = 2,782.35 × 1,751.00
  4. Step 4: Simplify right side
    2,016.92x = 4,871,901.81
  5. Step 5: Solve for x
    x = 4,871,901.81/2,016.92
  6. Step 6: Final answer
    x = 2,415.51

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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.