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Finding the Fourth Proportional to 2,150.03, 3,225.38 and 917.45

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Solution

The fourth proportional to 2,150.03, 3,225.38 and 917.45 is: 1,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.03 : 3,225.38 = 917.45 : x
  2. Step 2: Convert to fraction form
    2,150.03/3,225.38 = 917.45/x
  3. Step 3: Cross multiply
    2,150.03x = 3,225.38 × 917.45
  4. Step 4: Simplify right side
    2,150.03x = 2,959,104.17
  5. Step 5: Solve for x
    x = 2,959,104.17/2,150.03
  6. Step 6: Final answer
    x = 1,376.31

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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.