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Finding the Fourth Proportional to 3,196.26, 4,794.26 and 975.00

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Solution

The fourth proportional to 3,196.26, 4,794.26 and 975.00 is: 1,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.26 : 4,794.26 = 975.00 : x
  2. Step 2: Convert to fraction form
    3,196.26/4,794.26 = 975.00/x
  3. Step 3: Cross multiply
    3,196.26x = 4,794.26 × 975.00
  4. Step 4: Simplify right side
    3,196.26x = 4,674,416.60
  5. Step 5: Solve for x
    x = 4,674,416.60/3,196.26
  6. Step 6: Final answer
    x = 1,462.46

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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.