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Finding the Fourth Proportional to 1,579.68, 2,178.36 and 1,283.76

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Solution

The fourth proportional to 1,579.68, 2,178.36 and 1,283.76 is: 1,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.68 : 2,178.36 = 1,283.76 : x
  2. Step 2: Convert to fraction form
    1,579.68/2,178.36 = 1,283.76/x
  3. Step 3: Cross multiply
    1,579.68x = 2,178.36 × 1,283.76
  4. Step 4: Simplify right side
    1,579.68x = 2,796,491.43
  5. Step 5: Solve for x
    x = 2,796,491.43/1,579.68
  6. Step 6: Final answer
    x = 1,770.29

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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.