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Finding the Fourth Proportional to 1,730.45, 2,388.02 and 984.56

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Solution

The fourth proportional to 1,730.45, 2,388.02 and 984.56 is: 1,358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.45 : 2,388.02 = 984.56 : x
  2. Step 2: Convert to fraction form
    1,730.45/2,388.02 = 984.56/x
  3. Step 3: Cross multiply
    1,730.45x = 2,388.02 × 984.56
  4. Step 4: Simplify right side
    1,730.45x = 2,351,139.49
  5. Step 5: Solve for x
    x = 2,351,139.49/1,730.45
  6. Step 6: Final answer
    x = 1,358.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.