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Finding the Fourth Proportional to 3,070.02, 4,606.85 and 1,609.99

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Solution

The fourth proportional to 3,070.02, 4,606.85 and 1,609.99 is: 2,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.02 : 4,606.85 = 1,609.99 : x
  2. Step 2: Convert to fraction form
    3,070.02/4,606.85 = 1,609.99/x
  3. Step 3: Cross multiply
    3,070.02x = 4,606.85 × 1,609.99
  4. Step 4: Simplify right side
    3,070.02x = 7,416,982.43
  5. Step 5: Solve for x
    x = 7,416,982.43/3,070.02
  6. Step 6: Final answer
    x = 2,415.94

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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.