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Finding the Fourth Proportional to 3,119.47, 4,678.39 and 927.61

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Solution

The fourth proportional to 3,119.47, 4,678.39 and 927.61 is: 1,391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.47 : 4,678.39 = 927.61 : x
  2. Step 2: Convert to fraction form
    3,119.47/4,678.39 = 927.61/x
  3. Step 3: Cross multiply
    3,119.47x = 4,678.39 × 927.61
  4. Step 4: Simplify right side
    3,119.47x = 4,339,721.35
  5. Step 5: Solve for x
    x = 4,339,721.35/3,119.47
  6. Step 6: Final answer
    x = 1,391.17

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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.