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Finding the Fourth Proportional to 1,978.52, 2,730.41 and 1,139.49

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Solution

The fourth proportional to 1,978.52, 2,730.41 and 1,139.49 is: 1,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.52 : 2,730.41 = 1,139.49 : x
  2. Step 2: Convert to fraction form
    1,978.52/2,730.41 = 1,139.49/x
  3. Step 3: Cross multiply
    1,978.52x = 2,730.41 × 1,139.49
  4. Step 4: Simplify right side
    1,978.52x = 3,111,269.19
  5. Step 5: Solve for x
    x = 3,111,269.19/1,978.52
  6. Step 6: Final answer
    x = 1,572.53

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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.