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Finding the Fourth Proportional to 2,159.58, 2,980.44 and 1,320.78

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Solution

The fourth proportional to 2,159.58, 2,980.44 and 1,320.78 is: 1,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.58 : 2,980.44 = 1,320.78 : x
  2. Step 2: Convert to fraction form
    2,159.58/2,980.44 = 1,320.78/x
  3. Step 3: Cross multiply
    2,159.58x = 2,980.44 × 1,320.78
  4. Step 4: Simplify right side
    2,159.58x = 3,936,505.54
  5. Step 5: Solve for x
    x = 3,936,505.54/2,159.58
  6. Step 6: Final answer
    x = 1,822.81

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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.