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Finding the Fourth Proportional to 1,649.55, 2,470.31 and 908.03

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Solution

The fourth proportional to 1,649.55, 2,470.31 and 908.03 is: 1,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.55 : 2,470.31 = 908.03 : x
  2. Step 2: Convert to fraction form
    1,649.55/2,470.31 = 908.03/x
  3. Step 3: Cross multiply
    1,649.55x = 2,470.31 × 908.03
  4. Step 4: Simplify right side
    1,649.55x = 2,243,111.84
  5. Step 5: Solve for x
    x = 2,243,111.84/1,649.55
  6. Step 6: Final answer
    x = 1,359.83

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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.