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Finding the Fourth Proportional to 1,649.73, 2,474.97 and 554.01

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Solution

The fourth proportional to 1,649.73, 2,474.97 and 554.01 is: 831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.73 : 2,474.97 = 554.01 : x
  2. Step 2: Convert to fraction form
    1,649.73/2,474.97 = 554.01/x
  3. Step 3: Cross multiply
    1,649.73x = 2,474.97 × 554.01
  4. Step 4: Simplify right side
    1,649.73x = 1,371,158.13
  5. Step 5: Solve for x
    x = 1,371,158.13/1,649.73
  6. Step 6: Final answer
    x = 831.14

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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.