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Finding the Fourth Proportional to 2,072.16, 3,107.60 and 917.60

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Solution

The fourth proportional to 2,072.16, 3,107.60 and 917.60 is: 1,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.16 : 3,107.60 = 917.60 : x
  2. Step 2: Convert to fraction form
    2,072.16/3,107.60 = 917.60/x
  3. Step 3: Cross multiply
    2,072.16x = 3,107.60 × 917.60
  4. Step 4: Simplify right side
    2,072.16x = 2,851,533.76
  5. Step 5: Solve for x
    x = 2,851,533.76/2,072.16
  6. Step 6: Final answer
    x = 1,376.12

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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.