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Finding the Fourth Proportional to 3,403.04, 5,103.48 and 1,094

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Solution

The fourth proportional to 3,403.04, 5,103.48 and 1,094 is: 1,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.04 : 5,103.48 = 1,094 : x
  2. Step 2: Convert to fraction form
    3,403.04/5,103.48 = 1,094/x
  3. Step 3: Cross multiply
    3,403.04x = 5,103.48 × 1,094
  4. Step 4: Simplify right side
    3,403.04x = 5,583,207.12
  5. Step 5: Solve for x
    x = 5,583,207.12/3,403.04
  6. Step 6: Final answer
    x = 1,640.65

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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.