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Finding the Fourth Proportional to 1,978.57, 2,730.63 and 1,139.31

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Solution

The fourth proportional to 1,978.57, 2,730.63 and 1,139.31 is: 1,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.57 : 2,730.63 = 1,139.31 : x
  2. Step 2: Convert to fraction form
    1,978.57/2,730.63 = 1,139.31/x
  3. Step 3: Cross multiply
    1,978.57x = 2,730.63 × 1,139.31
  4. Step 4: Simplify right side
    1,978.57x = 3,111,020.41
  5. Step 5: Solve for x
    x = 3,111,020.41/1,978.57
  6. Step 6: Final answer
    x = 1,572.36

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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.