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Finding the Fourth Proportional to 1,579.59, 2,179.76 and 880.83

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Solution

The fourth proportional to 1,579.59, 2,179.76 and 880.83 is: 1,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.59 : 2,179.76 = 880.83 : x
  2. Step 2: Convert to fraction form
    1,579.59/2,179.76 = 880.83/x
  3. Step 3: Cross multiply
    1,579.59x = 2,179.76 × 880.83
  4. Step 4: Simplify right side
    1,579.59x = 1,919,993.60
  5. Step 5: Solve for x
    x = 1,919,993.60/1,579.59
  6. Step 6: Final answer
    x = 1,215.50

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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.