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Finding the Fourth Proportional to 3,071.68, 4,238.42 and 1,744.90

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Solution

The fourth proportional to 3,071.68, 4,238.42 and 1,744.90 is: 2,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.68 : 4,238.42 = 1,744.90 : x
  2. Step 2: Convert to fraction form
    3,071.68/4,238.42 = 1,744.90/x
  3. Step 3: Cross multiply
    3,071.68x = 4,238.42 × 1,744.90
  4. Step 4: Simplify right side
    3,071.68x = 7,395,619.06
  5. Step 5: Solve for x
    x = 7,395,619.06/3,071.68
  6. Step 6: Final answer
    x = 2,407.68

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1.5x scale

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.