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Finding the Fourth Proportional to 2,473.20, 3,706.16 and 2,254.50

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Solution

The fourth proportional to 2,473.20, 3,706.16 and 2,254.50 is: 3,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.20 : 3,706.16 = 2,254.50 : x
  2. Step 2: Convert to fraction form
    2,473.20/3,706.16 = 2,254.50/x
  3. Step 3: Cross multiply
    2,473.20x = 3,706.16 × 2,254.50
  4. Step 4: Simplify right side
    2,473.20x = 8,355,526.45
  5. Step 5: Solve for x
    x = 8,355,526.45/2,473.20
  6. Step 6: Final answer
    x = 3,378.43

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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.