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Finding the Fourth Proportional to 2,289, 3,433.50 and 750

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Solution

The fourth proportional to 2,289, 3,433.50 and 750 is: 1,125

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289 : 3,433.50 = 750 : x
  2. Step 2: Convert to fraction form
    2,289/3,433.50 = 750/x
  3. Step 3: Cross multiply
    2,289x = 3,433.50 × 750
  4. Step 4: Simplify right side
    2,289x = 2,575,125
  5. Step 5: Solve for x
    x = 2,575,125/2,289
  6. Step 6: Final answer
    x = 1,125

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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.