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Finding the Fourth Proportional to 2,158.12, 2,978.20 and 1,274.44

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Solution

The fourth proportional to 2,158.12, 2,978.20 and 1,274.44 is: 1,758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.12 : 2,978.20 = 1,274.44 : x
  2. Step 2: Convert to fraction form
    2,158.12/2,978.20 = 1,274.44/x
  3. Step 3: Cross multiply
    2,158.12x = 2,978.20 × 1,274.44
  4. Step 4: Simplify right side
    2,158.12x = 3,795,537.21
  5. Step 5: Solve for x
    x = 3,795,537.21/2,158.12
  6. Step 6: Final answer
    x = 1,758.72

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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.