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Finding the Fourth Proportional to 3,119.29, 4,679.61 and 928.20

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Solution

The fourth proportional to 3,119.29, 4,679.61 and 928.20 is: 1,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.29 : 4,679.61 = 928.20 : x
  2. Step 2: Convert to fraction form
    3,119.29/4,679.61 = 928.20/x
  3. Step 3: Cross multiply
    3,119.29x = 4,679.61 × 928.20
  4. Step 4: Simplify right side
    3,119.29x = 4,343,614.00
  5. Step 5: Solve for x
    x = 4,343,614.00/3,119.29
  6. Step 6: Final answer
    x = 1,392.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.