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Finding the Fourth Proportional to 4,682, 7,023.04 and 1,604

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Solution

The fourth proportional to 4,682, 7,023.04 and 1,604 is: 2,406.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682 : 7,023.04 = 1,604 : x
  2. Step 2: Convert to fraction form
    4,682/7,023.04 = 1,604/x
  3. Step 3: Cross multiply
    4,682x = 7,023.04 × 1,604
  4. Step 4: Simplify right side
    4,682x = 11,264,956.16
  5. Step 5: Solve for x
    x = 11,264,956.16/4,682
  6. Step 6: Final answer
    x = 2,406.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.