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Finding the Fourth Proportional to 2,471.77, 3,703.55 and 1,739.81

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Solution

The fourth proportional to 2,471.77, 3,703.55 and 1,739.81 is: 2,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.77 : 3,703.55 = 1,739.81 : x
  2. Step 2: Convert to fraction form
    2,471.77/3,703.55 = 1,739.81/x
  3. Step 3: Cross multiply
    2,471.77x = 3,703.55 × 1,739.81
  4. Step 4: Simplify right side
    2,471.77x = 6,443,468.42
  5. Step 5: Solve for x
    x = 6,443,468.42/2,471.77
  6. Step 6: Final answer
    x = 2,606.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.