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Finding the Fourth Proportional to 3,340.85, 4,609.54 and 2,160.50

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Solution

The fourth proportional to 3,340.85, 4,609.54 and 2,160.50 is: 2,980.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.85 : 4,609.54 = 2,160.50 : x
  2. Step 2: Convert to fraction form
    3,340.85/4,609.54 = 2,160.50/x
  3. Step 3: Cross multiply
    3,340.85x = 4,609.54 × 2,160.50
  4. Step 4: Simplify right side
    3,340.85x = 9,958,911.17
  5. Step 5: Solve for x
    x = 9,958,911.17/3,340.85
  6. Step 6: Final answer
    x = 2,980.95

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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.