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Finding the Fourth Proportional to 1,742.14, 2,404.20 and 956.22

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Solution

The fourth proportional to 1,742.14, 2,404.20 and 956.22 is: 1,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.14 : 2,404.20 = 956.22 : x
  2. Step 2: Convert to fraction form
    1,742.14/2,404.20 = 956.22/x
  3. Step 3: Cross multiply
    1,742.14x = 2,404.20 × 956.22
  4. Step 4: Simplify right side
    1,742.14x = 2,298,944.12
  5. Step 5: Solve for x
    x = 2,298,944.12/1,742.14
  6. Step 6: Final answer
    x = 1,319.61

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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.