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Finding the Fourth Proportional to 2,620.74, 3,928.35 and 1,159.71

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Solution

The fourth proportional to 2,620.74, 3,928.35 and 1,159.71 is: 1,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.74 : 3,928.35 = 1,159.71 : x
  2. Step 2: Convert to fraction form
    2,620.74/3,928.35 = 1,159.71/x
  3. Step 3: Cross multiply
    2,620.74x = 3,928.35 × 1,159.71
  4. Step 4: Simplify right side
    2,620.74x = 4,555,746.78
  5. Step 5: Solve for x
    x = 4,555,746.78/2,620.74
  6. Step 6: Final answer
    x = 1,738.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.