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Finding the Fourth Proportional to 4,604.76, 6,902.98 and 1,830.80

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Solution

The fourth proportional to 4,604.76, 6,902.98 and 1,830.80 is: 2,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.76 : 6,902.98 = 1,830.80 : x
  2. Step 2: Convert to fraction form
    4,604.76/6,902.98 = 1,830.80/x
  3. Step 3: Cross multiply
    4,604.76x = 6,902.98 × 1,830.80
  4. Step 4: Simplify right side
    4,604.76x = 12,637,988.46
  5. Step 5: Solve for x
    x = 12,637,988.46/4,604.76
  6. Step 6: Final answer
    x = 2,744.55

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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.