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Finding the Fourth Proportional to 2,579.60, 3,559.68 and 1,648

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Solution

The fourth proportional to 2,579.60, 3,559.68 and 1,648 is: 2,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.60 : 3,559.68 = 1,648 : x
  2. Step 2: Convert to fraction form
    2,579.60/3,559.68 = 1,648/x
  3. Step 3: Cross multiply
    2,579.60x = 3,559.68 × 1,648
  4. Step 4: Simplify right side
    2,579.60x = 5,866,352.64
  5. Step 5: Solve for x
    x = 5,866,352.64/2,579.60
  6. Step 6: Final answer
    x = 2,274.13

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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.