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Finding the Fourth Proportional to 2,471.42, 3,707.74 and 1,742.42

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Solution

The fourth proportional to 2,471.42, 3,707.74 and 1,742.42 is: 2,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.42 : 3,707.74 = 1,742.42 : x
  2. Step 2: Convert to fraction form
    2,471.42/3,707.74 = 1,742.42/x
  3. Step 3: Cross multiply
    2,471.42x = 3,707.74 × 1,742.42
  4. Step 4: Simplify right side
    2,471.42x = 6,460,440.33
  5. Step 5: Solve for x
    x = 6,460,440.33/2,471.42
  6. Step 6: Final answer
    x = 2,614.06

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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.