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Finding the Fourth Proportional to 3,451.71, 4,762.74 and 1,959.69

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Solution

The fourth proportional to 3,451.71, 4,762.74 and 1,959.69 is: 2,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.71 : 4,762.74 = 1,959.69 : x
  2. Step 2: Convert to fraction form
    3,451.71/4,762.74 = 1,959.69/x
  3. Step 3: Cross multiply
    3,451.71x = 4,762.74 × 1,959.69
  4. Step 4: Simplify right side
    3,451.71x = 9,333,493.95
  5. Step 5: Solve for x
    x = 9,333,493.95/3,451.71
  6. Step 6: Final answer
    x = 2,704.02

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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.