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Finding the Fourth Proportional to 1,704.13, 2,351.59 and 958.12

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Solution

The fourth proportional to 1,704.13, 2,351.59 and 958.12 is: 1,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.13 : 2,351.59 = 958.12 : x
  2. Step 2: Convert to fraction form
    1,704.13/2,351.59 = 958.12/x
  3. Step 3: Cross multiply
    1,704.13x = 2,351.59 × 958.12
  4. Step 4: Simplify right side
    1,704.13x = 2,253,105.41
  5. Step 5: Solve for x
    x = 2,253,105.41/1,704.13
  6. Step 6: Final answer
    x = 1,322.14

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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.