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Finding the Fourth Proportional to 4,070.58, 6,101.67 and 1,604.40

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Solution

The fourth proportional to 4,070.58, 6,101.67 and 1,604.40 is: 2,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.58 : 6,101.67 = 1,604.40 : x
  2. Step 2: Convert to fraction form
    4,070.58/6,101.67 = 1,604.40/x
  3. Step 3: Cross multiply
    4,070.58x = 6,101.67 × 1,604.40
  4. Step 4: Simplify right side
    4,070.58x = 9,789,519.35
  5. Step 5: Solve for x
    x = 9,789,519.35/4,070.58
  6. Step 6: Final answer
    x = 2,404.94

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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.