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Finding the Fourth Proportional to 1,701.67, 2,348.29 and 955.64

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Solution

The fourth proportional to 1,701.67, 2,348.29 and 955.64 is: 1,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.67 : 2,348.29 = 955.64 : x
  2. Step 2: Convert to fraction form
    1,701.67/2,348.29 = 955.64/x
  3. Step 3: Cross multiply
    1,701.67x = 2,348.29 × 955.64
  4. Step 4: Simplify right side
    1,701.67x = 2,244,119.86
  5. Step 5: Solve for x
    x = 2,244,119.86/1,701.67
  6. Step 6: Final answer
    x = 1,318.78

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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.