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Finding the Fourth Proportional to 1,978.67, 2,729.88 and 1,270.46

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Solution

The fourth proportional to 1,978.67, 2,729.88 and 1,270.46 is: 1,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.67 : 2,729.88 = 1,270.46 : x
  2. Step 2: Convert to fraction form
    1,978.67/2,729.88 = 1,270.46/x
  3. Step 3: Cross multiply
    1,978.67x = 2,729.88 × 1,270.46
  4. Step 4: Simplify right side
    1,978.67x = 3,468,210.17
  5. Step 5: Solve for x
    x = 3,468,210.17/1,978.67
  6. Step 6: Final answer
    x = 1,752.80

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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.