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Finding the Fourth Proportional to 1,741.26, 2,402.94 and 955.35

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Solution

The fourth proportional to 1,741.26, 2,402.94 and 955.35 is: 1,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.26 : 2,402.94 = 955.35 : x
  2. Step 2: Convert to fraction form
    1,741.26/2,402.94 = 955.35/x
  3. Step 3: Cross multiply
    1,741.26x = 2,402.94 × 955.35
  4. Step 4: Simplify right side
    1,741.26x = 2,295,648.73
  5. Step 5: Solve for x
    x = 2,295,648.73/1,741.26
  6. Step 6: Final answer
    x = 1,318.38

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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.