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Finding the Fourth Proportional to 2,684.58, 4,026.15 and 736.32

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Solution

The fourth proportional to 2,684.58, 4,026.15 and 736.32 is: 1,104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.58 : 4,026.15 = 736.32 : x
  2. Step 2: Convert to fraction form
    2,684.58/4,026.15 = 736.32/x
  3. Step 3: Cross multiply
    2,684.58x = 4,026.15 × 736.32
  4. Step 4: Simplify right side
    2,684.58x = 2,964,534.77
  5. Step 5: Solve for x
    x = 2,964,534.77/2,684.58
  6. Step 6: Final answer
    x = 1,104.28

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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.