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Finding the Fourth Proportional to 2,107.59, 3,160.35 and 1,230.42

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Solution

The fourth proportional to 2,107.59, 3,160.35 and 1,230.42 is: 1,845.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.59 : 3,160.35 = 1,230.42 : x
  2. Step 2: Convert to fraction form
    2,107.59/3,160.35 = 1,230.42/x
  3. Step 3: Cross multiply
    2,107.59x = 3,160.35 × 1,230.42
  4. Step 4: Simplify right side
    2,107.59x = 3,888,557.85
  5. Step 5: Solve for x
    x = 3,888,557.85/2,107.59
  6. Step 6: Final answer
    x = 1,845.03

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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.