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Finding the Fourth Proportional to 2,300.76, 3,449.05 and 913.78

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Solution

The fourth proportional to 2,300.76, 3,449.05 and 913.78 is: 1,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.76 : 3,449.05 = 913.78 : x
  2. Step 2: Convert to fraction form
    2,300.76/3,449.05 = 913.78/x
  3. Step 3: Cross multiply
    2,300.76x = 3,449.05 × 913.78
  4. Step 4: Simplify right side
    2,300.76x = 3,151,657.95
  5. Step 5: Solve for x
    x = 3,151,657.95/2,300.76
  6. Step 6: Final answer
    x = 1,369.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.