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Finding the Fourth Proportional to 2,158.35, 2,978.61 and 1,274.15

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Solution

The fourth proportional to 2,158.35, 2,978.61 and 1,274.15 is: 1,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.35 : 2,978.61 = 1,274.15 : x
  2. Step 2: Convert to fraction form
    2,158.35/2,978.61 = 1,274.15/x
  3. Step 3: Cross multiply
    2,158.35x = 2,978.61 × 1,274.15
  4. Step 4: Simplify right side
    2,158.35x = 3,795,195.93
  5. Step 5: Solve for x
    x = 3,795,195.93/2,158.35
  6. Step 6: Final answer
    x = 1,758.38

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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.