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Finding the Fourth Proportional to 3,000.35, 4,496.70 and 1,684.10

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Solution

The fourth proportional to 3,000.35, 4,496.70 and 1,684.10 is: 2,524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.35 : 4,496.70 = 1,684.10 : x
  2. Step 2: Convert to fraction form
    3,000.35/4,496.70 = 1,684.10/x
  3. Step 3: Cross multiply
    3,000.35x = 4,496.70 × 1,684.10
  4. Step 4: Simplify right side
    3,000.35x = 7,572,892.47
  5. Step 5: Solve for x
    x = 7,572,892.47/3,000.35
  6. Step 6: Final answer
    x = 2,524.00

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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.