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Finding the Fourth Proportional to 3,109.06, 4,663.05 and 917.20

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Solution

The fourth proportional to 3,109.06, 4,663.05 and 917.20 is: 1,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.06 : 4,663.05 = 917.20 : x
  2. Step 2: Convert to fraction form
    3,109.06/4,663.05 = 917.20/x
  3. Step 3: Cross multiply
    3,109.06x = 4,663.05 × 917.20
  4. Step 4: Simplify right side
    3,109.06x = 4,276,949.46
  5. Step 5: Solve for x
    x = 4,276,949.46/3,109.06
  6. Step 6: Final answer
    x = 1,375.64

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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.