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Finding the Fourth Proportional to 3,312, 4,967.40 and 1,231.68

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Solution

The fourth proportional to 3,312, 4,967.40 and 1,231.68 is: 1,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312 : 4,967.40 = 1,231.68 : x
  2. Step 2: Convert to fraction form
    3,312/4,967.40 = 1,231.68/x
  3. Step 3: Cross multiply
    3,312x = 4,967.40 × 1,231.68
  4. Step 4: Simplify right side
    3,312x = 6,118,247.23
  5. Step 5: Solve for x
    x = 6,118,247.23/3,312
  6. Step 6: Final answer
    x = 1,847.30

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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.