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Finding the Fourth Proportional to 1,704.64, 2,352.36 and 958.57

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Solution

The fourth proportional to 1,704.64, 2,352.36 and 958.57 is: 1,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.64 : 2,352.36 = 958.57 : x
  2. Step 2: Convert to fraction form
    1,704.64/2,352.36 = 958.57/x
  3. Step 3: Cross multiply
    1,704.64x = 2,352.36 × 958.57
  4. Step 4: Simplify right side
    1,704.64x = 2,254,901.73
  5. Step 5: Solve for x
    x = 2,254,901.73/1,704.64
  6. Step 6: Final answer
    x = 1,322.80

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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.