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Finding the Fourth Proportional to 2,536.68, 3,800.01 and 1,986.30

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Solution

The fourth proportional to 2,536.68, 3,800.01 and 1,986.30 is: 2,975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.68 : 3,800.01 = 1,986.30 : x
  2. Step 2: Convert to fraction form
    2,536.68/3,800.01 = 1,986.30/x
  3. Step 3: Cross multiply
    2,536.68x = 3,800.01 × 1,986.30
  4. Step 4: Simplify right side
    2,536.68x = 7,547,959.86
  5. Step 5: Solve for x
    x = 7,547,959.86/2,536.68
  6. Step 6: Final answer
    x = 2,975.53

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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.