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Finding the Fourth Proportional to 3,119.30, 4,678.94 and 928.02

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Solution

The fourth proportional to 3,119.30, 4,678.94 and 928.02 is: 1,392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.30 : 4,678.94 = 928.02 : x
  2. Step 2: Convert to fraction form
    3,119.30/4,678.94 = 928.02/x
  3. Step 3: Cross multiply
    3,119.30x = 4,678.94 × 928.02
  4. Step 4: Simplify right side
    3,119.30x = 4,342,145.26
  5. Step 5: Solve for x
    x = 4,342,145.26/3,119.30
  6. Step 6: Final answer
    x = 1,392.03

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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.