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Finding the Fourth Proportional to 2,685.48, 4,028.24 and 737.64

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Solution

The fourth proportional to 2,685.48, 4,028.24 and 737.64 is: 1,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.48 : 4,028.24 = 737.64 : x
  2. Step 2: Convert to fraction form
    2,685.48/4,028.24 = 737.64/x
  3. Step 3: Cross multiply
    2,685.48x = 4,028.24 × 737.64
  4. Step 4: Simplify right side
    2,685.48x = 2,971,390.95
  5. Step 5: Solve for x
    x = 2,971,390.95/2,685.48
  6. Step 6: Final answer
    x = 1,106.47

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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.