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Finding the Fourth Proportional to 2,114.96, 2,918.04 and 1,765.04

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Solution

The fourth proportional to 2,114.96, 2,918.04 and 1,765.04 is: 2,435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.96 : 2,918.04 = 1,765.04 : x
  2. Step 2: Convert to fraction form
    2,114.96/2,918.04 = 1,765.04/x
  3. Step 3: Cross multiply
    2,114.96x = 2,918.04 × 1,765.04
  4. Step 4: Simplify right side
    2,114.96x = 5,150,457.32
  5. Step 5: Solve for x
    x = 5,150,457.32/2,114.96
  6. Step 6: Final answer
    x = 2,435.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.