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Finding the Fourth Proportional to 4,632.09, 6,948.45 and 1,963.20

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Solution

The fourth proportional to 4,632.09, 6,948.45 and 1,963.20 is: 2,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.09 : 6,948.45 = 1,963.20 : x
  2. Step 2: Convert to fraction form
    4,632.09/6,948.45 = 1,963.20/x
  3. Step 3: Cross multiply
    4,632.09x = 6,948.45 × 1,963.20
  4. Step 4: Simplify right side
    4,632.09x = 13,641,197.04
  5. Step 5: Solve for x
    x = 13,641,197.04/4,632.09
  6. Step 6: Final answer
    x = 2,944.93

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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.