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Finding the Fourth Proportional to 1,978.39, 2,730.48 and 1,233.16

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Solution

The fourth proportional to 1,978.39, 2,730.48 and 1,233.16 is: 1,701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.39 : 2,730.48 = 1,233.16 : x
  2. Step 2: Convert to fraction form
    1,978.39/2,730.48 = 1,233.16/x
  3. Step 3: Cross multiply
    1,978.39x = 2,730.48 × 1,233.16
  4. Step 4: Simplify right side
    1,978.39x = 3,367,107.27
  5. Step 5: Solve for x
    x = 3,367,107.27/1,978.39
  6. Step 6: Final answer
    x = 1,701.94

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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.