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Finding the Fourth Proportional to 2,158.35, 2,978.51 and 1,226.85

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Solution

The fourth proportional to 2,158.35, 2,978.51 and 1,226.85 is: 1,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.35 : 2,978.51 = 1,226.85 : x
  2. Step 2: Convert to fraction form
    2,158.35/2,978.51 = 1,226.85/x
  3. Step 3: Cross multiply
    2,158.35x = 2,978.51 × 1,226.85
  4. Step 4: Simplify right side
    2,158.35x = 3,654,194.63
  5. Step 5: Solve for x
    x = 3,654,194.63/2,158.35
  6. Step 6: Final answer
    x = 1,693.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.