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Finding the Fourth Proportional to 3,325.50, 4,988.23 and 860.31

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Solution

The fourth proportional to 3,325.50, 4,988.23 and 860.31 is: 1,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,325.50 : 4,988.23 = 860.31 : x
  2. Step 2: Convert to fraction form
    3,325.50/4,988.23 = 860.31/x
  3. Step 3: Cross multiply
    3,325.50x = 4,988.23 × 860.31
  4. Step 4: Simplify right side
    3,325.50x = 4,291,424.15
  5. Step 5: Solve for x
    x = 4,291,424.15/3,325.50
  6. Step 6: Final answer
    x = 1,290.46

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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.