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Finding the Fourth Proportional to 3,086.87, 4,260.38 and 1,761.01

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Solution

The fourth proportional to 3,086.87, 4,260.38 and 1,761.01 is: 2,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.87 : 4,260.38 = 1,761.01 : x
  2. Step 2: Convert to fraction form
    3,086.87/4,260.38 = 1,761.01/x
  3. Step 3: Cross multiply
    3,086.87x = 4,260.38 × 1,761.01
  4. Step 4: Simplify right side
    3,086.87x = 7,502,541.68
  5. Step 5: Solve for x
    x = 7,502,541.68/3,086.87
  6. Step 6: Final answer
    x = 2,430.47

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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.