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Finding the Fourth Proportional to 1,650, 2,277 and 914

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Solution

The fourth proportional to 1,650, 2,277 and 914 is: 1,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650 : 2,277 = 914 : x
  2. Step 2: Convert to fraction form
    1,650/2,277 = 914/x
  3. Step 3: Cross multiply
    1,650x = 2,277 × 914
  4. Step 4: Simplify right side
    1,650x = 2,081,178
  5. Step 5: Solve for x
    x = 2,081,178/1,650
  6. Step 6: Final answer
    x = 1,261.32

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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.