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Finding the Fourth Proportional to 3,087.42, 4,622.91 and 1,604.00

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Solution

The fourth proportional to 3,087.42, 4,622.91 and 1,604.00 is: 2,401.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.42 : 4,622.91 = 1,604.00 : x
  2. Step 2: Convert to fraction form
    3,087.42/4,622.91 = 1,604.00/x
  3. Step 3: Cross multiply
    3,087.42x = 4,622.91 × 1,604.00
  4. Step 4: Simplify right side
    3,087.42x = 7,415,153.18
  5. Step 5: Solve for x
    x = 7,415,153.18/3,087.42
  6. Step 6: Final answer
    x = 2,401.73

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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.