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Finding the Fourth Proportional to 1,741.82, 2,403.68 and 955.86

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Solution

The fourth proportional to 1,741.82, 2,403.68 and 955.86 is: 1,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.82 : 2,403.68 = 955.86 : x
  2. Step 2: Convert to fraction form
    1,741.82/2,403.68 = 955.86/x
  3. Step 3: Cross multiply
    1,741.82x = 2,403.68 × 955.86
  4. Step 4: Simplify right side
    1,741.82x = 2,297,581.56
  5. Step 5: Solve for x
    x = 2,297,581.56/1,741.82
  6. Step 6: Final answer
    x = 1,319.07

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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.