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Finding the Fourth Proportional to 2,735.32, 4,103.05 and 980.45

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Solution

The fourth proportional to 2,735.32, 4,103.05 and 980.45 is: 1,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.32 : 4,103.05 = 980.45 : x
  2. Step 2: Convert to fraction form
    2,735.32/4,103.05 = 980.45/x
  3. Step 3: Cross multiply
    2,735.32x = 4,103.05 × 980.45
  4. Step 4: Simplify right side
    2,735.32x = 4,022,835.37
  5. Step 5: Solve for x
    x = 4,022,835.37/2,735.32
  6. Step 6: Final answer
    x = 1,470.70

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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.