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Finding the Fourth Proportional to 2,158.66, 2,978.76 and 1,214.56

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Solution

The fourth proportional to 2,158.66, 2,978.76 and 1,214.56 is: 1,675.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.66 : 2,978.76 = 1,214.56 : x
  2. Step 2: Convert to fraction form
    2,158.66/2,978.76 = 1,214.56/x
  3. Step 3: Cross multiply
    2,158.66x = 2,978.76 × 1,214.56
  4. Step 4: Simplify right side
    2,158.66x = 3,617,882.75
  5. Step 5: Solve for x
    x = 3,617,882.75/2,158.66
  6. Step 6: Final answer
    x = 1,675.99

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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.