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Finding the Fourth Proportional to 1,730.44, 2,387.91 and 984.58

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Solution

The fourth proportional to 1,730.44, 2,387.91 and 984.58 is: 1,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.44 : 2,387.91 = 984.58 : x
  2. Step 2: Convert to fraction form
    1,730.44/2,387.91 = 984.58/x
  3. Step 3: Cross multiply
    1,730.44x = 2,387.91 × 984.58
  4. Step 4: Simplify right side
    1,730.44x = 2,351,088.43
  5. Step 5: Solve for x
    x = 2,351,088.43/1,730.44
  6. Step 6: Final answer
    x = 1,358.67

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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.