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Finding the Fourth Proportional to 3,007.56, 4,511.52 and 1,706.52

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Solution

The fourth proportional to 3,007.56, 4,511.52 and 1,706.52 is: 2,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.56 : 4,511.52 = 1,706.52 : x
  2. Step 2: Convert to fraction form
    3,007.56/4,511.52 = 1,706.52/x
  3. Step 3: Cross multiply
    3,007.56x = 4,511.52 × 1,706.52
  4. Step 4: Simplify right side
    3,007.56x = 7,698,999.11
  5. Step 5: Solve for x
    x = 7,698,999.11/3,007.56
  6. Step 6: Final answer
    x = 2,559.88

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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.