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Finding the Fourth Proportional to 1,693.46, 2,542.62 and 1,649.72

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Solution

The fourth proportional to 1,693.46, 2,542.62 and 1,649.72 is: 2,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.46 : 2,542.62 = 1,649.72 : x
  2. Step 2: Convert to fraction form
    1,693.46/2,542.62 = 1,649.72/x
  3. Step 3: Cross multiply
    1,693.46x = 2,542.62 × 1,649.72
  4. Step 4: Simplify right side
    1,693.46x = 4,194,611.07
  5. Step 5: Solve for x
    x = 4,194,611.07/1,693.46
  6. Step 6: Final answer
    x = 2,476.95

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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.