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Finding the Fourth Proportional to 1,742.08, 2,404.23 and 996.28

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Solution

The fourth proportional to 1,742.08, 2,404.23 and 996.28 is: 1,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.08 : 2,404.23 = 996.28 : x
  2. Step 2: Convert to fraction form
    1,742.08/2,404.23 = 996.28/x
  3. Step 3: Cross multiply
    1,742.08x = 2,404.23 × 996.28
  4. Step 4: Simplify right side
    1,742.08x = 2,395,286.26
  5. Step 5: Solve for x
    x = 2,395,286.26/1,742.08
  6. Step 6: Final answer
    x = 1,374.96

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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.