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Finding the Fourth Proportional to 3,286.68, 4,926.58 and 1,437.30

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Solution

The fourth proportional to 3,286.68, 4,926.58 and 1,437.30 is: 2,154.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.68 : 4,926.58 = 1,437.30 : x
  2. Step 2: Convert to fraction form
    3,286.68/4,926.58 = 1,437.30/x
  3. Step 3: Cross multiply
    3,286.68x = 4,926.58 × 1,437.30
  4. Step 4: Simplify right side
    3,286.68x = 7,080,969.84
  5. Step 5: Solve for x
    x = 7,080,969.84/3,286.68
  6. Step 6: Final answer
    x = 2,154.45

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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.