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Finding the Fourth Proportional to 4,068.59, 6,102.15 and 1,604.09

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Solution

The fourth proportional to 4,068.59, 6,102.15 and 1,604.09 is: 2,405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.59 : 6,102.15 = 1,604.09 : x
  2. Step 2: Convert to fraction form
    4,068.59/6,102.15 = 1,604.09/x
  3. Step 3: Cross multiply
    4,068.59x = 6,102.15 × 1,604.09
  4. Step 4: Simplify right side
    4,068.59x = 9,788,367.28
  5. Step 5: Solve for x
    x = 9,788,367.28/4,068.59
  6. Step 6: Final answer
    x = 2,405.84

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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.