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Finding the Fourth Proportional to 2,079.60, 3,119.70 and 618.56

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Solution

The fourth proportional to 2,079.60, 3,119.70 and 618.56 is: 927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.60 : 3,119.70 = 618.56 : x
  2. Step 2: Convert to fraction form
    2,079.60/3,119.70 = 618.56/x
  3. Step 3: Cross multiply
    2,079.60x = 3,119.70 × 618.56
  4. Step 4: Simplify right side
    2,079.60x = 1,929,721.63
  5. Step 5: Solve for x
    x = 1,929,721.63/2,079.60
  6. Step 6: Final answer
    x = 927.93

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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.