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Finding the Fourth Proportional to 2,286.20, 3,430.10 and 988.60

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Solution

The fourth proportional to 2,286.20, 3,430.10 and 988.60 is: 1,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.20 : 3,430.10 = 988.60 : x
  2. Step 2: Convert to fraction form
    2,286.20/3,430.10 = 988.60/x
  3. Step 3: Cross multiply
    2,286.20x = 3,430.10 × 988.60
  4. Step 4: Simplify right side
    2,286.20x = 3,390,996.86
  5. Step 5: Solve for x
    x = 3,390,996.86/2,286.20
  6. Step 6: Final answer
    x = 1,483.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.