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Finding the Fourth Proportional to 2,759.60, 4,140.42 and 1,116.62

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Solution

The fourth proportional to 2,759.60, 4,140.42 and 1,116.62 is: 1,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.60 : 4,140.42 = 1,116.62 : x
  2. Step 2: Convert to fraction form
    2,759.60/4,140.42 = 1,116.62/x
  3. Step 3: Cross multiply
    2,759.60x = 4,140.42 × 1,116.62
  4. Step 4: Simplify right side
    2,759.60x = 4,623,266.42
  5. Step 5: Solve for x
    x = 4,623,266.42/2,759.60
  6. Step 6: Final answer
    x = 1,675.34

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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.