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Finding the Fourth Proportional to 1,579.74, 2,179.35 and 1,506.54

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Solution

The fourth proportional to 1,579.74, 2,179.35 and 1,506.54 is: 2,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.74 : 2,179.35 = 1,506.54 : x
  2. Step 2: Convert to fraction form
    1,579.74/2,179.35 = 1,506.54/x
  3. Step 3: Cross multiply
    1,579.74x = 2,179.35 × 1,506.54
  4. Step 4: Simplify right side
    1,579.74x = 3,283,277.95
  5. Step 5: Solve for x
    x = 3,283,277.95/1,579.74
  6. Step 6: Final answer
    x = 2,078.37

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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.