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Finding the Fourth Proportional to 4,604.55, 6,904.80 and 1,830.30

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Solution

The fourth proportional to 4,604.55, 6,904.80 and 1,830.30 is: 2,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.55 : 6,904.80 = 1,830.30 : x
  2. Step 2: Convert to fraction form
    4,604.55/6,904.80 = 1,830.30/x
  3. Step 3: Cross multiply
    4,604.55x = 6,904.80 × 1,830.30
  4. Step 4: Simplify right side
    4,604.55x = 12,637,855.44
  5. Step 5: Solve for x
    x = 12,637,855.44/4,604.55
  6. Step 6: Final answer
    x = 2,744.65

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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.