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Finding the Fourth Proportional to 2,706.36, 4,057.06 and 974.56

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Solution

The fourth proportional to 2,706.36, 4,057.06 and 974.56 is: 1,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.36 : 4,057.06 = 974.56 : x
  2. Step 2: Convert to fraction form
    2,706.36/4,057.06 = 974.56/x
  3. Step 3: Cross multiply
    2,706.36x = 4,057.06 × 974.56
  4. Step 4: Simplify right side
    2,706.36x = 3,953,848.39
  5. Step 5: Solve for x
    x = 3,953,848.39/2,706.36
  6. Step 6: Final answer
    x = 1,460.95

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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.