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Finding the Fourth Proportional to 3,454.60, 4,767.36 and 1,963.01

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Solution

The fourth proportional to 3,454.60, 4,767.36 and 1,963.01 is: 2,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.60 : 4,767.36 = 1,963.01 : x
  2. Step 2: Convert to fraction form
    3,454.60/4,767.36 = 1,963.01/x
  3. Step 3: Cross multiply
    3,454.60x = 4,767.36 × 1,963.01
  4. Step 4: Simplify right side
    3,454.60x = 9,358,366.50
  5. Step 5: Solve for x
    x = 9,358,366.50/3,454.60
  6. Step 6: Final answer
    x = 2,708.96

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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.