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Finding the Fourth Proportional to 2,622.57, 3,924.42 and 1,927.50

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Solution

The fourth proportional to 2,622.57, 3,924.42 and 1,927.50 is: 2,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.57 : 3,924.42 = 1,927.50 : x
  2. Step 2: Convert to fraction form
    2,622.57/3,924.42 = 1,927.50/x
  3. Step 3: Cross multiply
    2,622.57x = 3,924.42 × 1,927.50
  4. Step 4: Simplify right side
    2,622.57x = 7,564,319.55
  5. Step 5: Solve for x
    x = 7,564,319.55/2,622.57
  6. Step 6: Final answer
    x = 2,884.32

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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.