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Finding the Fourth Proportional to 1,761.89, 2,431.60 and 1,016.01

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Solution

The fourth proportional to 1,761.89, 2,431.60 and 1,016.01 is: 1,402.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.89 : 2,431.60 = 1,016.01 : x
  2. Step 2: Convert to fraction form
    1,761.89/2,431.60 = 1,016.01/x
  3. Step 3: Cross multiply
    1,761.89x = 2,431.60 × 1,016.01
  4. Step 4: Simplify right side
    1,761.89x = 2,470,527.38
  5. Step 5: Solve for x
    x = 2,470,527.38/1,761.89
  6. Step 6: Final answer
    x = 1,402.21

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Why These Related Problems?

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