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Finding the Fourth Proportional to 1,551.49, 2,141.21 and 888.21

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Solution

The fourth proportional to 1,551.49, 2,141.21 and 888.21 is: 1,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.49 : 2,141.21 = 888.21 : x
  2. Step 2: Convert to fraction form
    1,551.49/2,141.21 = 888.21/x
  3. Step 3: Cross multiply
    1,551.49x = 2,141.21 × 888.21
  4. Step 4: Simplify right side
    1,551.49x = 1,901,839.69
  5. Step 5: Solve for x
    x = 1,901,839.69/1,551.49
  6. Step 6: Final answer
    x = 1,225.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.