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Finding the Fourth Proportional to 2,706.56, 4,059.84 and 975.08

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Solution

The fourth proportional to 2,706.56, 4,059.84 and 975.08 is: 1,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.56 : 4,059.84 = 975.08 : x
  2. Step 2: Convert to fraction form
    2,706.56/4,059.84 = 975.08/x
  3. Step 3: Cross multiply
    2,706.56x = 4,059.84 × 975.08
  4. Step 4: Simplify right side
    2,706.56x = 3,958,668.79
  5. Step 5: Solve for x
    x = 3,958,668.79/2,706.56
  6. Step 6: Final answer
    x = 1,462.62

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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.