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Finding the Fourth Proportional to 2,636.80, 3,636.54 and 1,975.20

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Solution

The fourth proportional to 2,636.80, 3,636.54 and 1,975.20 is: 2,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.80 : 3,636.54 = 1,975.20 : x
  2. Step 2: Convert to fraction form
    2,636.80/3,636.54 = 1,975.20/x
  3. Step 3: Cross multiply
    2,636.80x = 3,636.54 × 1,975.20
  4. Step 4: Simplify right side
    2,636.80x = 7,182,893.81
  5. Step 5: Solve for x
    x = 7,182,893.81/2,636.80
  6. Step 6: Final answer
    x = 2,724.10

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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.