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Finding the Fourth Proportional to 2,817.60, 4,224.11 and 1,175.37

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Solution

The fourth proportional to 2,817.60, 4,224.11 and 1,175.37 is: 1,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.60 : 4,224.11 = 1,175.37 : x
  2. Step 2: Convert to fraction form
    2,817.60/4,224.11 = 1,175.37/x
  3. Step 3: Cross multiply
    2,817.60x = 4,224.11 × 1,175.37
  4. Step 4: Simplify right side
    2,817.60x = 4,964,892.17
  5. Step 5: Solve for x
    x = 4,964,892.17/2,817.60
  6. Step 6: Final answer
    x = 1,762.10

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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.