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Finding the Fourth Proportional to 2,999.70, 4,503.60 and 2,384.10

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Solution

The fourth proportional to 2,999.70, 4,503.60 and 2,384.10 is: 3,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.70 : 4,503.60 = 2,384.10 : x
  2. Step 2: Convert to fraction form
    2,999.70/4,503.60 = 2,384.10/x
  3. Step 3: Cross multiply
    2,999.70x = 4,503.60 × 2,384.10
  4. Step 4: Simplify right side
    2,999.70x = 10,737,032.76
  5. Step 5: Solve for x
    x = 10,737,032.76/2,999.70
  6. Step 6: Final answer
    x = 3,579.37

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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.