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Finding the Fourth Proportional to 3,105.09, 4,657.56 and 913.84

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Solution

The fourth proportional to 3,105.09, 4,657.56 and 913.84 is: 1,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.09 : 4,657.56 = 913.84 : x
  2. Step 2: Convert to fraction form
    3,105.09/4,657.56 = 913.84/x
  3. Step 3: Cross multiply
    3,105.09x = 4,657.56 × 913.84
  4. Step 4: Simplify right side
    3,105.09x = 4,256,264.63
  5. Step 5: Solve for x
    x = 4,256,264.63/3,105.09
  6. Step 6: Final answer
    x = 1,370.74

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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.