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Finding the Fourth Proportional to 2,305.50, 3,458.25 and 766.50

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Solution

The fourth proportional to 2,305.50, 3,458.25 and 766.50 is: 1,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.50 : 3,458.25 = 766.50 : x
  2. Step 2: Convert to fraction form
    2,305.50/3,458.25 = 766.50/x
  3. Step 3: Cross multiply
    2,305.50x = 3,458.25 × 766.50
  4. Step 4: Simplify right side
    2,305.50x = 2,650,748.63
  5. Step 5: Solve for x
    x = 2,650,748.63/2,305.50
  6. Step 6: Final answer
    x = 1,149.75

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Double scale
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1.5x scale

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.