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Finding the Fourth Proportional to 3,119.91, 4,680.63 and 928.63

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Solution

The fourth proportional to 3,119.91, 4,680.63 and 928.63 is: 1,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.91 : 4,680.63 = 928.63 : x
  2. Step 2: Convert to fraction form
    3,119.91/4,680.63 = 928.63/x
  3. Step 3: Cross multiply
    3,119.91x = 4,680.63 × 928.63
  4. Step 4: Simplify right side
    3,119.91x = 4,346,573.44
  5. Step 5: Solve for x
    x = 4,346,573.44/3,119.91
  6. Step 6: Final answer
    x = 1,393.17

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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.