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Finding the Fourth Proportional to 2,471.14, 3,706.71 and 622.40

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Solution

The fourth proportional to 2,471.14, 3,706.71 and 622.40 is: 933.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.14 : 3,706.71 = 622.40 : x
  2. Step 2: Convert to fraction form
    2,471.14/3,706.71 = 622.40/x
  3. Step 3: Cross multiply
    2,471.14x = 3,706.71 × 622.40
  4. Step 4: Simplify right side
    2,471.14x = 2,307,048.04
  5. Step 5: Solve for x
    x = 2,307,048.04/2,471.14
  6. Step 6: Final answer
    x = 933.60

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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.