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Finding the Fourth Proportional to 2,305, 3,457.50 and 766

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Solution

The fourth proportional to 2,305, 3,457.50 and 766 is: 1,149

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305 : 3,457.50 = 766 : x
  2. Step 2: Convert to fraction form
    2,305/3,457.50 = 766/x
  3. Step 3: Cross multiply
    2,305x = 3,457.50 × 766
  4. Step 4: Simplify right side
    2,305x = 2,648,445
  5. Step 5: Solve for x
    x = 2,648,445/2,305
  6. Step 6: Final answer
    x = 1,149

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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.