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Finding the Fourth Proportional to 1,954.30, 2,931.96 and 858.88

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Solution

The fourth proportional to 1,954.30, 2,931.96 and 858.88 is: 1,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.30 : 2,931.96 = 858.88 : x
  2. Step 2: Convert to fraction form
    1,954.30/2,931.96 = 858.88/x
  3. Step 3: Cross multiply
    1,954.30x = 2,931.96 × 858.88
  4. Step 4: Simplify right side
    1,954.30x = 2,518,201.80
  5. Step 5: Solve for x
    x = 2,518,201.80/1,954.30
  6. Step 6: Final answer
    x = 1,288.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.