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Finding the Fourth Proportional to 2,158.52, 2,978.70 and 1,214.42

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Solution

The fourth proportional to 2,158.52, 2,978.70 and 1,214.42 is: 1,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.52 : 2,978.70 = 1,214.42 : x
  2. Step 2: Convert to fraction form
    2,158.52/2,978.70 = 1,214.42/x
  3. Step 3: Cross multiply
    2,158.52x = 2,978.70 × 1,214.42
  4. Step 4: Simplify right side
    2,158.52x = 3,617,392.85
  5. Step 5: Solve for x
    x = 3,617,392.85/2,158.52
  6. Step 6: Final answer
    x = 1,675.87

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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.