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Finding the Fourth Proportional to 3,200.55, 4,798.82 and 978.65

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Solution

The fourth proportional to 3,200.55, 4,798.82 and 978.65 is: 1,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.55 : 4,798.82 = 978.65 : x
  2. Step 2: Convert to fraction form
    3,200.55/4,798.82 = 978.65/x
  3. Step 3: Cross multiply
    3,200.55x = 4,798.82 × 978.65
  4. Step 4: Simplify right side
    3,200.55x = 4,696,343.65
  5. Step 5: Solve for x
    x = 4,696,343.65/3,200.55
  6. Step 6: Final answer
    x = 1,467.36

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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.