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Finding the Fourth Proportional to 2,573.66, 3,861.84 and 1,404.50

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Solution

The fourth proportional to 2,573.66, 3,861.84 and 1,404.50 is: 2,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.66 : 3,861.84 = 1,404.50 : x
  2. Step 2: Convert to fraction form
    2,573.66/3,861.84 = 1,404.50/x
  3. Step 3: Cross multiply
    2,573.66x = 3,861.84 × 1,404.50
  4. Step 4: Simplify right side
    2,573.66x = 5,423,954.28
  5. Step 5: Solve for x
    x = 5,423,954.28/2,573.66
  6. Step 6: Final answer
    x = 2,107.49

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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.