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Finding the Fourth Proportional to 1,704.08, 2,351.66 and 958.00

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Solution

The fourth proportional to 1,704.08, 2,351.66 and 958.00 is: 1,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.08 : 2,351.66 = 958.00 : x
  2. Step 2: Convert to fraction form
    1,704.08/2,351.66 = 958.00/x
  3. Step 3: Cross multiply
    1,704.08x = 2,351.66 × 958.00
  4. Step 4: Simplify right side
    1,704.08x = 2,252,887.61
  5. Step 5: Solve for x
    x = 2,252,887.61/1,704.08
  6. Step 6: Final answer
    x = 1,322.05

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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.