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Finding the Fourth Proportional to 3,104.49, 4,657.40 and 913.04

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Solution

The fourth proportional to 3,104.49, 4,657.40 and 913.04 is: 1,369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.49 : 4,657.40 = 913.04 : x
  2. Step 2: Convert to fraction form
    3,104.49/4,657.40 = 913.04/x
  3. Step 3: Cross multiply
    3,104.49x = 4,657.40 × 913.04
  4. Step 4: Simplify right side
    3,104.49x = 4,252,364.64
  5. Step 5: Solve for x
    x = 4,252,364.64/3,104.49
  6. Step 6: Final answer
    x = 1,369.75

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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.