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Finding the Fourth Proportional to 3,460.25, 5,191.90 and 1,816.40

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Solution

The fourth proportional to 3,460.25, 5,191.90 and 1,816.40 is: 2,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.25 : 5,191.90 = 1,816.40 : x
  2. Step 2: Convert to fraction form
    3,460.25/5,191.90 = 1,816.40/x
  3. Step 3: Cross multiply
    3,460.25x = 5,191.90 × 1,816.40
  4. Step 4: Simplify right side
    3,460.25x = 9,430,575.60
  5. Step 5: Solve for x
    x = 9,430,575.60/3,460.25
  6. Step 6: Final answer
    x = 2,725.40

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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.