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Finding the Fourth Proportional to 1,636, 2,257.68 and 900

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Solution

The fourth proportional to 1,636, 2,257.68 and 900 is: 1,242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636 : 2,257.68 = 900 : x
  2. Step 2: Convert to fraction form
    1,636/2,257.68 = 900/x
  3. Step 3: Cross multiply
    1,636x = 2,257.68 × 900
  4. Step 4: Simplify right side
    1,636x = 2,031,912.00
  5. Step 5: Solve for x
    x = 2,031,912.00/1,636
  6. Step 6: Final answer
    x = 1,242.00

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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.