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Finding the Fourth Proportional to 1,649.84, 2,474.49 and 554.21

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Solution

The fourth proportional to 1,649.84, 2,474.49 and 554.21 is: 831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.84 : 2,474.49 = 554.21 : x
  2. Step 2: Convert to fraction form
    1,649.84/2,474.49 = 554.21/x
  3. Step 3: Cross multiply
    1,649.84x = 2,474.49 × 554.21
  4. Step 4: Simplify right side
    1,649.84x = 1,371,387.10
  5. Step 5: Solve for x
    x = 1,371,387.10/1,649.84
  6. Step 6: Final answer
    x = 831.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.