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Finding the Fourth Proportional to 3,430.96, 4,734.55 and 1,918.42

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Solution

The fourth proportional to 3,430.96, 4,734.55 and 1,918.42 is: 2,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.96 : 4,734.55 = 1,918.42 : x
  2. Step 2: Convert to fraction form
    3,430.96/4,734.55 = 1,918.42/x
  3. Step 3: Cross multiply
    3,430.96x = 4,734.55 × 1,918.42
  4. Step 4: Simplify right side
    3,430.96x = 9,082,845.97
  5. Step 5: Solve for x
    x = 9,082,845.97/3,430.96
  6. Step 6: Final answer
    x = 2,647.32

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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.