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Finding the Fourth Proportional to 2,928.68, 4,393.12 and 1,284.40

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Solution

The fourth proportional to 2,928.68, 4,393.12 and 1,284.40 is: 1,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.68 : 4,393.12 = 1,284.40 : x
  2. Step 2: Convert to fraction form
    2,928.68/4,393.12 = 1,284.40/x
  3. Step 3: Cross multiply
    2,928.68x = 4,393.12 × 1,284.40
  4. Step 4: Simplify right side
    2,928.68x = 5,642,523.33
  5. Step 5: Solve for x
    x = 5,642,523.33/2,928.68
  6. Step 6: Final answer
    x = 1,926.64

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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.