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Finding the Fourth Proportional to 2,245.54, 3,368.36 and 764.76

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Solution

The fourth proportional to 2,245.54, 3,368.36 and 764.76 is: 1,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.54 : 3,368.36 = 764.76 : x
  2. Step 2: Convert to fraction form
    2,245.54/3,368.36 = 764.76/x
  3. Step 3: Cross multiply
    2,245.54x = 3,368.36 × 764.76
  4. Step 4: Simplify right side
    2,245.54x = 2,575,970.15
  5. Step 5: Solve for x
    x = 2,575,970.15/2,245.54
  6. Step 6: Final answer
    x = 1,147.15

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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.