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Finding the Fourth Proportional to 2,684.45, 4,026.35 and 736.81

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Solution

The fourth proportional to 2,684.45, 4,026.35 and 736.81 is: 1,105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.45 : 4,026.35 = 736.81 : x
  2. Step 2: Convert to fraction form
    2,684.45/4,026.35 = 736.81/x
  3. Step 3: Cross multiply
    2,684.45x = 4,026.35 × 736.81
  4. Step 4: Simplify right side
    2,684.45x = 2,966,646.72
  5. Step 5: Solve for x
    x = 2,966,646.72/2,684.45
  6. Step 6: Final answer
    x = 1,105.12

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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.