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Finding the Fourth Proportional to 3,186.50, 4,397.03 and 1,770.03

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Solution

The fourth proportional to 3,186.50, 4,397.03 and 1,770.03 is: 2,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.50 : 4,397.03 = 1,770.03 : x
  2. Step 2: Convert to fraction form
    3,186.50/4,397.03 = 1,770.03/x
  3. Step 3: Cross multiply
    3,186.50x = 4,397.03 × 1,770.03
  4. Step 4: Simplify right side
    3,186.50x = 7,782,875.01
  5. Step 5: Solve for x
    x = 7,782,875.01/3,186.50
  6. Step 6: Final answer
    x = 2,442.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.